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68. The area of a right-angled triangle is 165 sq metres. Determine its beand altitude if the latter exceeds the former by 7 metres.

Answer»

Let the base and altitude be x and x+7 respectively.Area of triangle=1/2×base×height165=1/2×x×(x+7)330=x(x+7)X^2+7x-330=0(X-15)(x+20)=0X=15. Or x=-20(rejected because it is negative)

So, x=15And,x+7=22

So the base and height are 15m and 22m respectively.



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