Question

9 fill in the blank 1 point a triangle with side lengths of 16, 30 and 35 is a right triangle/ choose your answer... choose your answer... true false

Explanation:

Step1: Recall Pythagorean theorem

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

Step2: Substitute the values

Let \(a = 16\), \(b = 30\), \(c = 35\). Calculate \(a^{2}+b^{2}\) and \(c^{2}\).
\(a^{2}+b^{2}=16^{2}+30^{2}=256 + 900=1156\)
\(c^{2}=35^{2}=1225\)

Answer:

False