Question

Question #f4b66

Answer 1

Length of side AB is 12 cm.

Explanation:

For `triangleABC`, side `AC` is opposite `angleB`. Since `angleB=90` degrees, side `AC` is the hypotenuse, or longest side of a right angle triangle.

Using Pythagoras' Theorem, or by knowing the Pythagorean Triple: `5, 12, 13`, we know that if the hypotenuse of a triangle is equal to `13` and a leg is equal to `5`, the other leg has length equal to `12`.

`13^2=5^2+(l " of " AB)^2`
`(l" of "AB)^2=13^2-5^2`
`(l" of "AB)=12`