Question

The ratio of the base to the leg of an isosceles triangle to its base is 2:7. The perimeter of the triangle is 304. How do you find the length of the base?

Answer 1

Step-by-step explanation:

Explanation:

Remember that a triangle has 3 sides, but because it is an isosceles triangle we only need to know two lengths. The two legs are equal in length, so the ratio of the legs to the base could also have been given as

4

:

4

:

3

←

there are 9 parts

This is the ratio we need to use for the perimeter.

Divide

132

in the ratio

4

:

4

:

3

The equal sides are

4

9

×

132

=

58

2

3

The length of the base is

3

9

×

132

=

44