Question

given the 3 lengths of a triangle are 6 in, 8 in and 10 in. will this make a right triangle? yes no

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Let \(a = 6\), \(b = 8\) and \(c=10\).
Calculate \(a^{2}+b^{2}\):
\(a^{2}+b^{2}=6^{2}+8^{2}=36 + 64=100\)
Calculate \(c^{2}\):
\(c^{2}=10^{2}=100\)

Answer:

yes