Question

Triangle ABC is a right triangle. If AC=12 and BC=13 find AB.

Answer 1

5

Explanation:

The first thing to think about when doing a problem is to look in the angles. BAC is a right angle, but that does not help. The next thing to notice is BA looks roughly about 1/2 the size of AC. That answer makes the most sense so the answer is 5.

Answer 2

5

Explanation:

by pythagoras theorem

(hyp)^2=(leg1)^2+(leg2)^2

the hypotenuse is the side opposite to 90 degree (BC=13)

AC=leg 1 = 12

13^2=12^2 + leg 2^2

169=144+ leg 2^2

leg2 ^2=169-144

leg2^2= 25

leg2= root 25

leg2=5