Question

Jacks tent is shaped like an isosceles triangle. The height of the tent measures 7 feet and the diagonal side measures 9 feet. Find the length of the base

Answer 1

5/2

Step-by-step explanation:

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Answer 2

The length of the tent's base is
`8√(2)`.

Step-by-step explanation:

Given : Jacks tent is shaped like an isosceles triangle. The height of the tent measures 7 feet and the diagonal side measures 9 feet.

To find : The length of the base ?

Solution :

Let x denote the length of the tent's base.

Refer the attached figure below.

Using Pythagorean Theorem,

`9^(2) =7^(2) +((x)/(2) )^2`

`81=49+(x^(2) )/(4)`

`324=196+x^(2)`

`x^(2) =128`

Taking square root on both sides,

`x=√(128)`

`x=8√(2)`

Therefore, the length of the tent's base is
`8√(2)`.