Question

O GEOMETRY Pythagorean Theorem For the following right triangle, find the side length x. Round your answer to the nearest hundredth. 10 X Ú

Answer 1

ANSWER

x = 8

EXPLANATION

Here we have a right triangle. The lengths of two sides are given and we have to find the length of the third side. To do so, we will use the Pythagorean Theorem,

$c^2=a^2+b^2$

Where a and b are the legs, and c is the hypotenuse.

The hypotenuse of a right triangle is always the longest side, which is the side opposite to the right angle. In this case, the hypotenuse is 10 units long, one of the legs is 6 units long and we have to find the length of the other leg, x,

$10^2=x^2+6^2$

Solving for x,

$x=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64}=8$

Hence, the value of x is 8.