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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-> 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):
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)
