Question

a triangle has sides with lengths of 48 inches, 64 inches, and 80 inches. 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, \(a = 48\), \(b = 64\), \(c = 80\).

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

\(48^2 + 64^2 = 2304 + 4096 = 6400\)

Step3: Calculate \(c^2\)

\(80^2 = 6400\)

Step4: Compare results

Since \(48^2 + 64^2 = 80^2\), the triangle satisfies the Pythagorean theorem.

Answer:

yes