The equation is simple and straightforward, and can be expressed with one variable. Each side can be expressed in terms of the second side.
5,12,13
Perimeter of a triangle = (length of the first side) plus (length of the second side) plus (length of the third side)
Let the second angle of the triangle be A. Then angle 1 = 2A : and angle 3 = 3A - 12 The internal angles of a triangle total 180° therefore :- 2A + A + (3A - 12) = 180 6A - 12 = 180 : 6A = 192 : A = 32 The angles measure 64° , 32° and 84° .
This is possible because you add perimiters but multiply areas. Consider a 2 x 4 rectangle and a 1 x 5 rectangle. The first has a perimeter of 12 (2+2+4+4), and an area of 8 (2 x 4). The second rectangle has a perimeter of 12 also (1+1+5+5), but an area of 5 (5 x 1). The closer a rectangle is to a perfect square, the larger the area will be, because a square maximizes area. A 3 x 3 square also has a perimeter of 12, but an area of 9. Heres another way to think about it: a rectangle that is one inch tall and 100 inches wide would have a perimeter of 202 inches, and an area of 100 square inches. If you added one inch to the side so that it was 101 inches wide, you would add 2 inches to the perimeter, but only one square inch to the area. However, if you made it one inch taller, you would still add 2 inches to the perimeter, but you would DOUBLE the area to 200 square inches.
85 square feet is the area of a room that measures eight by ten and a half feet. This is the size of a typical second bedroom. If there was a floor tile that measured 12 inches by 12 inches, this would be 85 floor tiles.
5,12,13
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13, 12,5
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.
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?
the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.
Perimeter of a triangle = (length of the first side) plus (length of the second side) plus (length of the third side)
yes
Five plus three equals 8, right? So the the second side would be eight inches. 17-8=9. so the first side is 5 inches less than the second side, which would make it 3 inches. The third side is +3 which would make it 6 inches. The equation is 3 inches + 6 inches+8 inches= 17 inches.
Perimeter of a triangle = (length of the first side) plus (length of the second side) plus (length of the third side)
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.