Question

a triangle has sides with lengths of 3 yards, 7 yards, and 8 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).

Step2: Identify sides

Longest side \(c = 8\), \(a = 3\), \(b = 7\).

Step3: Calculate \(a^2 + b^2\)

\(3^2 + 7^2 = 9 + 49 = 58\).

Step4: Calculate \(c^2\)

\(8^2 = 64\).

Step5: Compare

Since \(58
eq 64\), it's not a right triangle.

Answer:

no