SOLUTION: The area of right angle triangle is 30cm2 and the length of its hypotenuse is 13 cm. the length of the shorter leg is:

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Question 884695: The area of right angle triangle is 30cm2 and the length of its hypotenuse is 13 cm. the length of the shorter leg is:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!


.
.


From the first equation,

Substitute,






Only the positive solution works here.
Two solutions:


Then,


and


Then,
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