Question

a triangle has sides with lengths of 59 yards, 75 yards, and 50 yards. is it a right triangle?
yes
no

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\) (where \(c\) is the longest side). Here, sides are 59, 50, 75. Longest side \(c = 75\), \(a = 50\), \(b = 59\).

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

\(50^2 + 59^2 = 2500 + 3481 = 5981\)

Step3: Calculate \(c^2\)

\(75^2 = 5625\)

Step4: Compare results

Since \(5981
eq 5625\), the triangle is not right - angled.

Answer:

no