Question

Is Triangle ABC a right triangle? Why or why not?

A. No, Triangle ABC is not a right triangle, because AC would have to be 4 sq rt of 37
B. No, Triangle ABC is not a right triangle, because AC would have to be 2 sq rt of 74
C. No, Triangle ABC is not a right triangle, because AC would have to be 296.
D. Yes, Triangle ABC is a right triangle by the Pythagorean theorem.

Answer 1

D. Yes, Triangle ABC is a right triangle by the Pythagorean theorem.

Answer 2

Answer:

Option B

Step-by-step explanation:

If triangle ABC is a right angle triangle then it should follow the Pythagoras theorem.

Hypotenuse² = base² + height²

So base² + height² = 10² + 14²

                               = 100 + 196

                              = 296

So Hypotenuse² = 296

Hypotenuse = √296

                     = $\sqrt[2]{74}$

Therefore, Option B will be the answer.