Question

in two congruent triangles the ratio of lengths of two corresponding sides is 5:8. If the perimeter of the larger triangle is 10 ft less than twice the perimeter of the smaller triangle find the perimeter of each triangle

Answer 1

5/8 = x/(2x-10)

x = perimeter of smaller
2x - 10 = perimeter of larger

8x = 10x -50

-2x = -50 x = 25 smaller

2x-10 2(25)-10 = 50 -10 or 40 for larger