Question

question 15 of 33
a triangle with sides of lengths 20, 21, and 29 is a right triangle.
a. true
b. false

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side.
Let \(a = 20\), \(b = 21\), and \(c = 29\).
Calculate \(a^{2}+b^{2}\):
\(a^{2}=20^{2}=400\), \(b^{2}=21^{2}=441\).
So \(a^{2}+b^{2}=400 + 441=841\).
Calculate \(c^{2}\):
\(c^{2}=29^{2}=841\).
Since \(a^{2}+b^{2}=c^{2}\), the triangle is a right - triangle.

Answer:

A. True