Question

Use the Pythagorean Theorem to answer the questions.

Can a right triangle have sides of 12, 16, and 20?


Select one:

a. yes

b. no

Answer 1

Answer: a. Yes

Explanation:

Let the opposite side =12

Let the adjacent side = 16

Let the hypotenuse side =20

Using the pythagoras theorem

we are going to prove that hypotenus is 20

opp² + adj² ⁼ hyp²

12² + 16² ⁼ hyp²

144 + 256 = hyp²

400 = hyp²

√400 =hyp

20= hyp

Therefore hypotenuse= 20