Question

Find the missing side length of each right trianglea=_____b= 24c= 25

Answer 1

The Solution:

Representing the problem in a diagram:

We are asked to find the length a.

Applying the Pythagorean Theorem, we get

`\begin{gathered} a^2+24^2=25^2 \\ a^2=25^2-24^2 \\ a^2=625-576 \\ a^2=49 \end{gathered}`

Taking the square root of both sides, we get

`\begin{gathered} a=√(49) \\ a=\pm7 \\ \text{ But since }a\text{ cannot be a negative value, we have that} \\ a=7 \end{gathered}`

Therefore, the correct answer is 7