Question #f4b66

1 Answer
Oct 31, 2017

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