Wiki User
∙ 15y agoNotation: one side = x ; the other side = y ; third side = z
"one side is 4 ft longer than the third side"
x = z + 4
"the other side is 5 feet shorter than the third side"
y = z - 5
"the entire perimeter has to equal 29 feet"
x + y + z = 29
We have three equations and three unknowns. Several methods can be used to find the lengths of each of the sides. I'll use substitution below.
x + y + z = 29
(z + 4) + (z - 5) + z = 29
3z - 1 = 29
3z = 30
z = 10
x = z + 4
x = (10) + 4
x = 14
y = z - 5
y = (10) - 5
y = 5
So, the sides of your triangle are 5, 10, and 14.
Wiki User
∙ 15y agoSide # 1 - 40Side # 2 - 20Side # 3 - 16
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.
Let the length be 6x and the width be x: 2(6x+x) = 98 12x+2x = 98 14x = 98 x = 7 Therefore: length = 42 cm and width = 7 cm Area = length*width = 294 cm2
No. In the first place, the word is "multiply", not "times", and in the second place, to get the width you divide the perimeter by two and then subtract the length (there are alternative methods, but none of them is even close to multiplying the length by the perimeter).
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.
Perimeter of a triangle = (length of the first side) plus (length of the second side) plus (length of the third side)
Perimeter of a triangle = (length of the first side) plus (length of the second side) plus (length of the third side)
Side # 1 - 40Side # 2 - 20Side # 3 - 16
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?
== == The corresponding angle is 60 degrees.
5,12,13
13, 12,5
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.
Let the length be 6x and the width be x: 2(6x+x) = 98 12x+2x = 98 14x = 98 x = 7 Therefore: length = 42 cm and width = 7 cm Area = length*width = 294 cm2
A centimetre is a unit of length. Centimetres per second is a unit of speed. The two units are therefore incompatible.
No. In the first place, the word is "multiply", not "times", and in the second place, to get the width you divide the perimeter by two and then subtract the length (there are alternative methods, but none of them is even close to multiplying the length by the perimeter).
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.