Question

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

Answer 1

Pythagorean theorem, a^2 + b^2 = c^2
5 squared is 25, 8 squared is 64, square root of 89 is 9.43 thus the hypotenuse is 9.43, correct me if I'm wrong but that is what I got

Answer 2

Answer:

The value of x is $\sqrt{89}$

Step-by-step 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,

$H=\sqrt{89}$

Thus, The value of x is $\sqrt{89}$