Question

Which set of side lengths form a right triangle?

14 m, 20 m, 25 m
3 ft, 6 ft, 5 ft
10 cm, 6 cm, 8 cm
7 cm, 8 cm, 10 cm
Help quick please!

Answer 1

10 cm, 6 cm, 8 cm

Explanation:

Longest side is the hypotenuse

10² = 6² + 8²

100 = 36 + 64

100 = 100

Satisfies pythagoras theorem, hence forms a right angle triangle

Answer 2

C

Explanation:

You know the triangle is right if the squares of the two smaller side lengths add up to the square of the largest side length, thanks to the Pythagorean Theorem:
`a^2+b^2=c^2` , where a and b are the legs and c is the hypotenuse.

Let's put this to the test for each answer choice:

A)
`14^2+20^2=? 25^2` --> 196 + 400 =? 625 --> 596 is NOT equal to 625, so wrong

B)
`3^2+5^2=?6^2` --> 9 + 25 =? 36 --> 34 is NOT equal to 36, so wrong

C)
`6^2+8^2=?10^2` --> 36 + 64 =? 100 --> 100 DOES equal 100, so correct

D)
`7^2+8^2=?10^2` --> 49 + 64 =? 100 --> 113 is NOT equal to 100, so wrong

Thus, the answer is C.

Hope this helps!