Question

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

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given,

In an isosceles triangle, the ratio of the leg to base = 2:7,

The perimeter of the triangle is 304 ft.

To find,

Length of the base.

Solution,

Firstly, let the length of the leg of the given isosceles triangle be 2x and that of the base be 7x.

Now, since an isosceles triangle has two sides equal. So, for the given triangle, we have

two sides = 2x, 2x, and,

base = 7x.

As the perimeter is given to be 304 ft. Thus,

2x + 2x + 7x = 304

⇒ 11x = 304

⇒ x = 27.636

⇒ x ≈ 27.64

From this value of x, we can find the length of the base, so

base = 7x = 7(27.64) = 193.48 ft.

Therefore, for the given isosceles triangle, the length of the base will be 193.48 ft.