Question

15 use the pythagorean theorem to determine if the following is a right triangle.
9.6 km, 12.8 km, 16.0 km
a yes, this is a right triangle
b no, this is not a right triangle

Explanation:

Step1: Identify sides

Longest side: 16.0 km (hypotenuse candidate); others: 9.6 km, 12.8 km

Step2: Calculate sum of squares of legs

$9.6^2 + 12.8^2 = 92.16 + 163.84 = 256$

Step3: Calculate square of longest side

$16.0^2 = 256$

Step4: Compare results

$9.6^2 + 12.8^2 = 16.0^2$, so it's a right triangle.

Answer:

A. Yes, this is a right triangle