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The sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle?
Let's denote the perimeter of the first triangle as P. Since the triangles are congruent, the perimeter of the second triangle is also P. The sum of their perimeters is then 2P. According to the given statement, this sum is three times the perimeter of the first triangle. So we have the equation 2P = 3P. Simplifying, we find that P = 0, which is not a valid solution. Therefore, there is no triangle for which the sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle.
How do you do a perimeter?
Example 1:Find the perimeter of a triangle with sides measuring 5 centimeters, 9 centimeters and 11 centimeters.Solution:P = 5 cm + 9 cm + 11 cm = 25 cmExample 2:A rectangle has a length of 8 centimeters and a width of 3 centimeters. Find the perimeter.Solution 1:P = 8 cm + 8cm + 3 cm + 3 cm = 22 cmSolution 2:P = 2(8 cm) + 2(3 cm) = 16 cm + 6 cm = 22 cmIn Example 2, the second solution is more commonly used. In fact, in mathematics, we commonly use the following formula for perimeter of a rectangle:, where is the perimeter, is the length and is the width.In the next few examples, we will find the perimeter of other polygons.Example 3:Find the perimeter of a square with each side measuring 2 inches.Solution:= 2 in + 2 in + 2 in + 2 in = 8 inExample 4:Find the perimeter of an equilateral triangle with each side measuring 4 centimeters.Solution:= 4 cm + 4 cm + 4 cm = 12 cmA square and an equilateral triangle are both examples ofregular polygons. Another method for finding the perimeter of a regular polygon is to multiply the number of sides by the length of one side. Let's revisit Examples 3 and 4 using this second method.Example 3:Find the perimeter of a square with each side measuring 2 inches.Solution:This regular polygon has 4 sides, each with a length of 2 inches. Thus we get:= 4(2 in) = 8 inExample 4:Find the perimeter of an equilateral triangle with each side measuring 4 centimeters.Solution:This regular polygon has 3 sides, each with a length of 4 centimeters. Thus we get:= 3(4 cm) = 12 cmExample 5:Find the perimeter of a regular pentagon with each side measuring 3 inches.Solution:= 5(3 in) = 15 inExample 6:The perimeter of a regular hexagon is 18 centimeters. How long is one side?Solution:= 18 cmLet represent the length of one side. A regular hexagon has 6 sides, so we can divide the perimeter by 6 to get the length of one side ().= 18 cm ÷ 6= 3 cmSummary:To find the perimeter of a polygon, take the sum of the length of each side. The formula for perimeter of a rectangle is: . To find the perimeter of a regular polygon, multiply the number of sides by the length of one side.
What is the perimeter of a triangle that has the area of 36.54 cm?
This question cannot be answered for two reasons. First: there cannot be a triangle whose area is 36.54 cm because area cannot be measured in cm. Area is a 2-dimensional concept: a centimetre is 1-dimensional. Second: Even if the area was given in appropriate units, the area of a triangle is not enough information to determine its perimeter.
Formula for a triangle?
Heron's formula to find area of triangle semi perimeter(s)=sum of all the sides of triangle/2 area of tiangle=P[s(s-first side)(s-second side)(s-third side)]1/2
How do you find the scale factor if they give you the perimeter ratio?
Let's get at the idea by working backward. Suppose we know the scale factor; what will the ratio of perimeters be? For instance, suppose we have two triangles; one has sides of 3, 4, and 5 inches; the other has sides of 33, 44, and 55 inches. The scalefactor is 11: you multiply each side length of the first triangle to get the corresponding side length of the second triangle. Now look at the perimeters. The perimeter of the first triangle is 3+4+5 = 12 inches. The perimeter of the second triangle is 33+44+55 = 132 inches. The ratio of perimeters is 132/12 = 11. Do you notice that it's the same as the scale factor? This will always be true! Here is why. We can write the sides of the second triangle as 3*11, 4*11, and 5*11. Then the perimeter is 3*11 + 4*11 + 5*11 = (3 + 4 + 5)*11 using the distributive property. To find the ratio of perimeters, divide this by the perimeter of the first triangle: (3+4+5)*11 ---------- = 11 3+4+5 Let's continue and think about the ratio of areas. The triangles I chose happen to be right triangles (do you know how to show this?) so the area is half the product of the two shorter sides. Thus the area of the first triangle is (3*4)/2 = 6 square inches. The area of the second triangle is (33*44)/6 = 726 square inches. The ratio of areas is 726/6 = 121. This ratio happens to be 11 squared. It will always be true that the ratio of areas is the square of the scale factor. Again, we can see why this is true. Writing the sides of the second triangle as 3*11 and 4*11, the area is 3*11 * 4*11 = (3*4)*(11*11) Divide this by the area of the first triangle to find the ratio of areas: (3*4)*(11*11) ------------- = 11*11 = 11^2 3*4 Do you see how it works now? What is the answer to your problem?
Triangle with a perimeter of 9 and a angle of 60 with a similar triangle with a perimeter of 12 what is the angle degree of the second triangle?
== == The corresponding angle is 60 degrees.
First side of triangle is 2 inches shorter than the second the third side is 5 inches longer than the second if the perimeter is 33 inches how long is each side?
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What is formula of finding the perimeter of a triangle?
Perimeter of a triangle = (length of the first side) plus (length of the second side) plus (length of the third side)
What is the formula for perimeter of a tiragle?
Perimeter of a triangle = (length of the first side) plus (length of the second side) plus (length of the third side)
The sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle?
Let's denote the perimeter of the first triangle as P. Since the triangles are congruent, the perimeter of the second triangle is also P. The sum of their perimeters is then 2P. According to the given statement, this sum is three times the perimeter of the first triangle. So we have the equation 2P = 3P. Simplifying, we find that P = 0, which is not a valid solution. Therefore, there is no triangle for which the sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle.
The perimeter of a triangle is 30 inches the first side of the triangle is 1 inch longer than the second side the second side is 7 inches longer than the third side what is the length of each side?
5,12,13
The perimeter of a triangle is 30 inches the first side of the triangle is 1 inch longer than the second side the second side is 7 inches longer than the third side what is the length of each side of?
13, 12,5
How do you do a perimeter?
Example 1:Find the perimeter of a triangle with sides measuring 5 centimeters, 9 centimeters and 11 centimeters.Solution:P = 5 cm + 9 cm + 11 cm = 25 cmExample 2:A rectangle has a length of 8 centimeters and a width of 3 centimeters. Find the perimeter.Solution 1:P = 8 cm + 8cm + 3 cm + 3 cm = 22 cmSolution 2:P = 2(8 cm) + 2(3 cm) = 16 cm + 6 cm = 22 cmIn Example 2, the second solution is more commonly used. In fact, in mathematics, we commonly use the following formula for perimeter of a rectangle:, where is the perimeter, is the length and is the width.In the next few examples, we will find the perimeter of other polygons.Example 3:Find the perimeter of a square with each side measuring 2 inches.Solution:= 2 in + 2 in + 2 in + 2 in = 8 inExample 4:Find the perimeter of an equilateral triangle with each side measuring 4 centimeters.Solution:= 4 cm + 4 cm + 4 cm = 12 cmA square and an equilateral triangle are both examples ofregular polygons. Another method for finding the perimeter of a regular polygon is to multiply the number of sides by the length of one side. Let's revisit Examples 3 and 4 using this second method.Example 3:Find the perimeter of a square with each side measuring 2 inches.Solution:This regular polygon has 4 sides, each with a length of 2 inches. Thus we get:= 4(2 in) = 8 inExample 4:Find the perimeter of an equilateral triangle with each side measuring 4 centimeters.Solution:This regular polygon has 3 sides, each with a length of 4 centimeters. Thus we get:= 3(4 cm) = 12 cmExample 5:Find the perimeter of a regular pentagon with each side measuring 3 inches.Solution:= 5(3 in) = 15 inExample 6:The perimeter of a regular hexagon is 18 centimeters. How long is one side?Solution:= 18 cmLet represent the length of one side. A regular hexagon has 6 sides, so we can divide the perimeter by 6 to get the length of one side ().= 18 cm ÷ 6= 3 cmSummary:To find the perimeter of a polygon, take the sum of the length of each side. The formula for perimeter of a rectangle is: . To find the perimeter of a regular polygon, multiply the number of sides by the length of one side.
What is the perimeter of a triangle that has the area of 36.54 cm?
This question cannot be answered for two reasons. First: there cannot be a triangle whose area is 36.54 cm because area cannot be measured in cm. Area is a 2-dimensional concept: a centimetre is 1-dimensional. Second: Even if the area was given in appropriate units, the area of a triangle is not enough information to determine its perimeter.
The perimeter of a triangle is 57 the first side is twice the length of the second side the third side is seven more than the second side what is the length of each side?
the perimeter of a triangle is 86 inches. the largest side is four inches less than twice the smallest side. the third side is 10 inches longer than the smallest side. what is the length of each side?
What is the answer for triangle abc?
There can be no answer.First, there is no information on the triangle. Second, what is the question about: do you want the lengths of sides, the perimeter, the measures of angles, the area, the lengths of medians, altitudes, the radius of the incentre, orthocentre, circumcentre. Or do you just want to know what colour it is?
Formula for a triangle?
Heron's formula to find area of triangle semi perimeter(s)=sum of all the sides of triangle/2 area of tiangle=P[s(s-first side)(s-second side)(s-third side)]1/2
