Question

pythagorean theorem proofs practice
complete this assessment to review what youve learned. it will not count toward your grade.
if a triangle has sides 12, 16, and 20, which length is the length of the hypotenuse? (1 point)
check answer remaining attempts : 3

Explanation:

Step1: Recall the Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (the longest side of the right - triangle).

Step2: Compare the lengths of the sides

Given the side lengths \(12\), \(16\), and \(20\). Since \(20>16 > 12\), we check if \(12^{2}+16^{2}=20^{2}\).
Calculate \(12^{2}=144\), \(16^{2}=256\), and \(20^{2} = 400\). Then \(12^{2}+16^{2}=144 + 256=400=20^{2}\).

Answer:

\(20\)