Answer:
10
Explanation:
You need to use the Pythagorean Theorem for this problem since you're solving for the lengths of a right triangle:
A right triangle is a triangle that has a 90-degree angle.
Let's say the side lengths are a, b, and c.
According to the Pythagorean Theorem, the way to relate a, b, and c is:
a^2 + b^2 = c^2 ==> c is the hypotenuse (the diagonal line on the triangle)
We already know a and b since they're given:
a=6 and b=8
Just apply these known values to the Pythagorean theorem:
6^2 + 8^2 = c^2 ==> solve for c
36 + 64 = c^2 ==> simplify
100 = c^2
c = 10 ==> take the square root on both sides
Answer: 10