Question

PLS help me if you get it right i will give brainliest

Answer 1

Given:

In a right angle triangle,

Perpendicular =  8 units

Base = x units

Hypotenuse = 17 units

To find:

The exact value of x.

Solution:

The given triangles is a right angle triangle. So, side lengths form a Pythagorean triplet.

$(Hypotenuse)^2=(Base)^2+(Perpendicular)^2$

$(17)^2=(x)^2+(8)^2$

$289=x^2+64$

$289-64=x^2$

$225=x^2$

Taking square root on both sides.

$\pm \sqrt{225}=x$

$\pm 15=x$

Side cannot be negative. So, $x=15$.

Therefore, the required value is $x=15$ and yes, the side lengths form a Pythagorean triplet, i.e., (8,15,17).