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Question
The area of right-angled triangle is 96 sq meters. If the base is three time the altitude, find the base.
Solution
Let the altitude of the triangle be x m.
Therefore, the base will be 3x m.
`"Area of a triangle"=1/2xx "Base" xx "Altitude"`
∴ `1/2xx3x xx x=96 (∵ Area=96 sq m)`
⇒`x^2/2=32`
⇒`x^2=64`
⇒`x=+-8`
The value of x cannot be negative
Therefore, the altitude and base of the triangle are 8 m and `(3xx8=24m)` respectively.
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