Question

6 of 30
if the hypotenuse of a right triangle is 10 and one side is 6, what is the other side length?
a 10
b 11
c 8
d 9

Explanation:

Step1: Apply Pythagorean theorem

Let the hypotenuse be $c = 10$, one side be $a = 6$, and the other side be $b$. The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, so $b=\sqrt{c^{2}-a^{2}}$.

Step2: Substitute values

Substitute $c = 10$ and $a = 6$ into the formula: $b=\sqrt{10^{2}-6^{2}}=\sqrt{100 - 36}=\sqrt{64}$.

Step3: Calculate the result

$\sqrt{64}=8$.

Answer:

C. 8