What is the length of the hypotenuse of a right triangle that has a base of 5 inches and a height of 12 inches?

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Answer 1 · 2015-11-16T15:47:29

The hypotenuse is #color(blue)(13# inches

Let the base of the right angled triangle be denoted as #AB# ,the height as #BC# and the hypotenuse as #AC#

Given data:
#AB=5# inches , #BC=12# inches

Now, as per the Pythagoras theorem:

#(AC)^2=(AB)^2+(BC)^2#

#(AC)^2=(5)^2+(12)^2#

#(AC)^2=25+144#

#(AC)^2=169#

#AC=sqrt169#

#AC=color(blue)(13#