Question
One side of a right -angled triangle is twice the other , and the hypotenuse is 10 cm. The area of the triangle is :
Answer: Option A
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Let the sides be a cm and 2a cm.
Then , `a^2 + (2a)^2 = (10)^2`
`hArr 5a^2 = 100`
`hArr a^2 = 20`
`:.` Area = `(1/2 xx a xx 2a ) = a^2 = 20 cm^2`
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