Question

a triangle has sides with lengths of 35 millimeters, 21 millimeters, and 28 millimeters. 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 \(c = 35\), \(a = 21\), \(b = 28\).

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

\(21^2 + 28^2 = 441 + 784 = 1225\).

Step4: Calculate \(c^2\)

\(35^2 = 1225\).

Step5: Compare

Since \(21^2 + 28^2 = 35^2\), it satisfies the theorem.

Answer:

yes