Question

10 of 30
if a right triangle has sides 7 and 24, what is the length of the hypotenuse?
a 27
b 28
c 26
d 25

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 7\), \(b = 24\), and \(c\) is the hypotenuse.

Step2: Calculate \(a^{2}+b^{2}\)

\(a^{2}=7^{2}=49\), \(b^{2}=24^{2}=576\), then \(a^{2}+b^{2}=49 + 576=625\).

Step3: Find the value of \(c\)

Since \(c^{2}=625\), then \(c=\sqrt{625}=25\).

Answer:

D. 25