The perimeter of a triangle is 28cm. One of it’s sides is 8cm. Write all the sides of the possible isosceles triangles with these measurements.

Question

Philoid · Accepted Answer

Given:

Perimeter of triangle = 28 cm

Length of one side =8 cm

Triangle is isosceles

So let the equal side be b

Perimeter = a + 2b

8 + 2b = 28

2b = 20

b = 10 cm

So length of equal sides = 10 cm.

The two equal sides can also be 8 cm

16 + a = 28

a = 12 cm.

So new side length = 8, 8, 12 cm.