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Summer Clouds moderators

23/11/2017 at 15:25

Right triangle ABC has side lengths 6, 8 and 10 units. Right triangle XYZ, with hypotenuse of length 18 units, is similar to \(\Delta\)ABC. What is the ratio of the area of \(\Delta\)ABC to the area of \(\Delta\)XYZ? Express your answer as a common fraction.
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Phan Thanh Tinh Coordinator 23/11/2017 at 17:53

The similarity coefficient of 2 triangles is : \(\dfrac{10}{18}=\dfrac{5}{9}\)

The answer is : \(\left(\dfrac{5}{9}\right)^2=\dfrac{25}{81}\)
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