Question

The legs of a right triangle measure 6 and sqrt(x). The
hypotenuse measures 10. Determine the value of x.

Answer 1

Answer:

The value of x is 64

Step-by-step 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

$10^2 = 6^2 + (\sqrt{x})^2$

Simplify

$100 = 36 + z$

Collect Like Terms

$x = 64$$x = 100 - 36$

Hence, the value of x is 64