Question

Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inches.

Answer 1

Two equal sides = 14.4 inches each

Shortest side = 7.2 inches

Explanation:

a + b + c = 36

a = b

a = 2c

then:

c = a/2

a + a + a/2 = 36

2a + a/2 = 36

4a/2 + a/2 = 36

5a/2 = 36

a = 2*36/5

a = 72/5

a = 14.4

a = 2c

14.4 = 2*c

c = 14.4/2

c = 7.2

a = b

b = 14.4

Check:

14.4 + 14.4 + 7.2 = 36