Question

Which side lengths form a right triangle?
Choose all answers that apply:

Answer 1

All 3 are right triangles.

Explanation:

In a right triangle c^2 = a^2 + b^2 where c is the longest side. ( by Pythagoras).

a) 3^2 = 9, 6^2 = 36 and √27 ^ 2 = 27

36 = 9 + 27

So this is a right triangle.

b)

17^2 = 289, 15^2 = 225 and 8^2 = 64

289 = 225 + 64

Also right triangle.

c) √50 ^ 2 = 50, 5^2 = 25 and 5^2 = 25

So also right triangle.