SOLUTION: The legs of a right triangle are 8 cm and 12 cm. The hypotenuse of a similar triangle is 20 cm. What is the area, in cm², of the larger triangle?

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Question 1147733: The legs of a right triangle are 8 cm and 12 cm. The hypotenuse of a similar triangle is 20 cm. What is the area, in cm², of the larger triangle?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The smaller triangle hypotenuse is   =  cm.


The similarity coefficient from the larger triangle to the smaller triangle is, therefore, .


The area of the larger triangle is then   =  =   times the area of the smaller triangle.


ANSWER.  The area of the larger triangle is   =  = 92.31 square centimeters, approximately 
         (with 2 correct decimal places)

Solved.


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