Question

a triangle has sides with lengths of 4 meters, 8 meters, and 10 meters. is it a right triangle? yes no

Explanation:

Step1: Recall the Pythagorean theorem

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

Step2: Substitute the values

Let \(a = 4\), \(b = 8\), \(c = 10\). Calculate \(a^{2}+b^{2}\) and \(c^{2}\).
\(a^{2}+b^{2}=4^{2}+8^{2}=16 + 64=80\)
\(c^{2}=10^{2}=100\)

Step3: Compare the results

Since \(80
eq100\) (i.e., \(a^{2}+b^{2}
eq c^{2}\))

Answer:

no