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Question

The area of a right-angled triangle is 165 sq metres. Then, find its base and altitude if the latter exceeds the former by 7 meters?


A

16 m and 24 m

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B

14 m and 22 m

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C

15 m and 22 m

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D

16 m and 20 m

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Solution

The correct option is C

15 m and 22 m


Let base = x then, altitude x + 7
Area 12×x×(x+7)165=x(x+7)2330=x2+7xx2+7x330=0(x+22)(x15)=0x=22 and n=15base is x=15 mAltitude x+7=22 m


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