Question #f4b66

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Pop Quiz Whiz
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#

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