Question
If the perimeter of an isosceles right riangle is `(6 + 3sqrt(2))`m , then the area of the triangle is :
Answer: Option A
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Let the side be a metres, and b metres.
Then , 2a + b = 6 + `3sqrt(2) and b^2 = a^2 + a^2 = 2a^2`
`hArr b = sqrt(2) a`
`:.` ` 2a + sqrt(2) a = 6 + 3sqrt(2)`
`hArr a = 3`
`:.` Area = `(1/2 xx 3 xx 3) m^2 = 4.5 m^2`
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