Question

pre-algebra ic sem 2 fall 2025
finding the hypotenuse in right triangles
practicing the pythagorean theorem to solve problems
consider the right triangle.
what is the length of the hypotenuse?
√53 m
2,809 m
√1,241 m
53 m

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 28\), \(b = 45\), then \(28^{2}+45^{2}=c^{2}\).

Step2: Calculate squares

\(28^{2}=784\), \(45^{2}=2025\).
So \(784 + 2025=c^{2}\), \(c^{2}=2809\).

Step3: Find square root

\(c=\sqrt{2809}\), \(c = 53\).

Answer:

\(53\ m\)