Question

Question 16 Multiple Choice Worth 1 points)(03.01 LC)What is the length of the unknown side of the right triangle?72407O 24O 25O 31

Answer 1

The value of the missing side is 25

Step-by-step explanation:

The image shows the measures of the sides of a right-angle triangle.

Pythagorean theorem shows the relationship between the three sides. This theorem states that in a right-angle triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.

From the given triangle:

The hypotenuse is x

SO

`\begin{gathered} x^2=7^2+24^2 \\ x^2=49+576 \\ x^2=625 \\ \\ \text{Take square roots of both sides} \\ \sqrt[]{x^2}=\sqrt[]{625} \\ \\ x=25 \end{gathered}`