Question

Need help ASAP!!
Which of the following lists of side lengths represents a right triangle?

A.) 4, 5, 9
B.) 5, 12, 13
C.) 8, 15, 19
D.) 7, 12, 16

Answer 1

Answer:

Option B

Step-by-step explanation:

Use the Pythagorean Theorem.

$a^2+b^2=c^2$

For Option A:

$4^2+5^2=9^2\\\\16+25=81\\\\\boxed{41\neq 81}$

It is not a right triangle.

For Option B:

$5^2+12^2=13^2\\\\25+144=169\\\\\boxed{169=169}$

Option B's side lengths can be used as a right triangle.

Hope this helps.