SOLUTION: the area of a right angle triangle is 30 sq. cm and the length of the hypotenuse is 13 sq. cm. the length of the shorter side is?

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Question 351080: the area of a right angle triangle is 30 sq. cm and the length of the hypotenuse is 13 sq. cm. the length of the shorter side is?

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
From the Pythagorean theorem,

From the area,



Substitute,




Two solutions:




.
.
.




The shorter leg is 5 cm.

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