Question

Please help! 11 pts.

Jacob calculated the missing side length of one of the following triangles using the Pythagorean Theorem. Which triangle is it? Four triangles A, B, C, D are shown from left to right. Triangle A has two sides labeled 2 each, and the included acute angle is shown. Triangle B has one side labeled as 4 and the other as 2, and the included right angle is shown. Triangle C has one side labeled as 2 and the other as 3, and the included obtuse angle is shown. Triangle D has one side labeled as 6 and the other as 7, and the included acute angle is shown. A B C D

Answer 1

hey user!!!

the correct answer is triangle B

because Pythagoras theorem can be used in right angle triangles only.

here, Triangle B is the only right angle triangle.

in triangle B, 2 is perpendicular and 4 is base. the Missing side is hypotenuse.

we know that h² (hypotenuse) = p² (perpendicular) + b² (base)

=> h² = 2² + 4²

=> h² = 4 + 16

=> h² = 20

=> h = √20

hope u understood..

cheers!!!

Answer 2

Pythagorean Theorem can be used only for right triangles.

(leg1)² +(leg2)² = hypotenuse ²

So, answer is the right triangle B.