Question

a triangle has sides with lengths of 42 yards, 60 yards, and 40 yards. is it a right triangle?

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\) (where \(c\) is the longest side).
Here, sides are 40, 42, 60. Longest side \(c = 60\), \(a = 40\), \(b = 42\).

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

\(40^2 + 42^2 = 1600 + 1764 = 3364\)

Step3: Calculate \(c^2\)

\(60^2 = 3600\)

Step4: Compare results

Since \(3364
eq 3600\), \(a^2 + b^2
eq c^2\).

Answer:

no