Use special right triangles to solve for the exact value of x

Question

asked May 10, 2018 140k views

2 Answers

Kausty · Answer 1 · 2018-05-15T12:58:13+0000

Answer:

The value of x is

Explanation:

Given : A right angled triangle with base = 8 , perpendicular = 5

We have to find the value of x that is we have to find the length of hypotenuse.

Consider the given right angled triangle,

PYTHAGORAS THEOREM states that for a given right angle triangle the sum of square of base and perpendicular is equal to the square of hypotenuse.

Mathematically written as ,

H^2=B^2+P^2

Here, B = 8 , P = 5

substitute, we have,

H^2=8^2+5^2

Simplify, we have,

H^2=64+25

H^2=89

Taking square root both side, we have,

H=√(89)

Thus, The value of x is