ABC is a triangle in which ∠A =90°, AN⊥ BC, BC = 12 cm and AC = 5cm. Find the ratio of the areas of ΔANC and ΔABC.

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asked Feb 13, 2018 in Mathematics by sforrest072 (157,439 points) 61 411 949
ABC is a triangle in which ∠A =90°, AN⊥ BC, BC = 12 cm and AC = 5cm. Find the ratio of the areas of ΔANC and ΔABC.

1 Answer

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answered Feb 13, 2018 by mdsamim (213,225 points) 5 10 15
selected Feb 13, 2018 by sforrest072
 
Best answer

In ΔANC and ΔABC
∠C = ∠C [Common]
∠ANC = ∠BAC [Each 90°]
Then, ΔANC ~ ΔBAC [By AA similarity]

By area of similarity triangle theorem

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