What is the length of the unknown side?

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

x = 12

y = 15

step-by-step explanation: