Question

is the triangle with the given dimensions a right triangle? if so, which angle is the right angle? ab = 10, bc = 8, ca = 5 a. yes, ∠a is the right angle. b. yes, ∠b is the right angle. c. yes, ∠c is the right angle. d. no, it is not a right triangle. please select the best answer from the choices provided a b c d

Explanation:

Step1: Identify longest side

Longest side is $AB=10$, so $AB^2=10^2=100$

Step2: Sum squares of other sides

Calculate $BC^2 + CA^2 = 8^2 + 5^2 = 64 + 25 = 89$

Step3: Check Pythagorean theorem

Compare $100
eq 89$, so not a right triangle.

Answer:

D. No, it is not a right triangle.