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The area of a right angled triangle is 1...

The area of a right angled triangle is `165m^2` . Determine its base and altitude if the latter exceeds the former by 7m.

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Verified by Experts

The correct Answer is:
`" base"=15m," altitude"=22m`
Let the base be x metres. Then, altitude `=(x+7)m.`
`:." "(1)/(2)xx x xx(x+7)=165impliesx^(2)+7x-330=0`
`implies" "x^(2)+22x-15x-330=0implies(x-15)(x+22)=0impliesx=15.
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