Question

What is the value of x? Round your answer to the nearest tenth if necessary.

Answer 1

This relates to Pythagorean Theorem. So you'd have to use a^2 + b^2 = c^2.
a & b are both "measurements" of x.
So you'd plug in 8 for a/b abecause (explained above this.).
And 10 would be in the place of c^2 because c = hypotenuse.

So it'd be a^2 + 8^2 = 10^2
a^2 + 64 = 100
-64 -64
a^2= 36
You'd have to square root the 36 because you're finding that one number and squaring it.So It'd turn out to being x=6.

Answer 2

This triangle is actually a 3-4-5 right triangle. By the Pythagoras Theorem, $a^2 + b^2 = c^2$, we can see that $\text{a and b}$ are the legs of the triangle, and $c$ is the hypotenuse. Therefore, $a^2 + 8^2 = 10^2$, and solving, we get $a^2 = 36$. Therefore, $a = 6$