Question

The legs of a right triangle measure 6 and sqrt(x). The

hypotenuse measures 10. Determine the value of x.

Answer 1

The value of x is 64

Explanation:

Given:

Length of the Legs of the triangle = 6 and √x

Hypothenus = 10

Required

Find x?

The legs of a rectangle is what is regarded to as the adjacent and the opposite sides of the triangle.

Assuming the following

Adjacent = 6 and Opposite = √x

We can then solve the given example using Pythagoras theorem as foloes;

`Hyp^2 = Opp^2 + Adj^2`

By substituting 10 for Hyp; 6 for Adj and √x for Opp

`10^2 = 6^2 + (√(x))^2`

Simplify

`100 = 36 + z`

Collect Like Terms

`x = 64`
`x = 100 - 36`

Hence, the value of x is 64