Question

a triangle has sides with lengths of 49 meters, 21 meters, and 43 meters. is it a right triangle?

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Let \(a = 21\), \(b = 43\), \(c = 49\).
Calculate \(a^{2}+b^{2}\): \(21^{2}+43^{2}=441 + 1849=2290\)
Calculate \(c^{2}\): \(49^{2}=2401\)

Step2: Compare the values

Since \(21^{2}+43^{2}
eq49^{2}\) (because \(2290
eq2401\))

Answer:

no