In right triangle ABC, with right angle C, AB = 9, and BC = 5, how do you find the length of the missing side?

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Answer 1 · 2015-08-11T17:07:07

#color(blue)(CA=2sqrt14#

In a right angled triangle, right angled at C, the hypotenuse = #AB#

As the triangle is a right angled triangle, the Pythagoras Theorem can be applied to find the unknown side.

As per the Pythagoras Theorem:

#color(green)((AB)^2 = (BC)^2 +(CA)^2#

#AB=9 , BC=5#

So,
#9^2 = 5^2 +CA^2#

#81 = 25 +CA^2#

#CA^2 = 56#

#CA= sqrt56#

#color(blue)(CA=2sqrt14#