Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 6\), \(b = 8\), \(c = 10\)

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

\(6^{2}+8^{2}=36 + 64=100\)

Step3: Calculate \(c^{2}\)

\(10^{2}=100\)

Step4: Compare results

Since \(6^{2}+8^{2}=10^{2}\), it is a right - triangle.

Answer:

yes