Question

a = 2.1, b = 7.2, c = 7.5. is this a right triangle?

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (the longest side).

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

Given \(a = 2.1\) and \(b = 7.2\), then \(a^{2}+b^{2}=(2.1)^{2}+(7.2)^{2}=4.41 + 51.84=56.25\).

Step3: Calculate \(c^{2}\)

Given \(c = 7.5\), then \(c^{2}=(7.5)^{2}=56.25\).

Step4: Compare

Since \(a^{2}+b^{2}=c^{2}\), it is a right - triangle.

Answer:

Yes