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The sides of a right angled triangle are...

The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side?

Text Solution

Verified by Experts

The correct Answer is:
6
Let the sides are `a -d, a and a + d`. Then,
`a (a -d) = 48`
and `a^(2) - 2ad + d^(2) + a^(2) = a^(2) + 2ad + d^(2)`
`rArr a^(2) = 4ad`
`rArr a = 4d`
Thus, `a = 8, d =2`
Hence, `a -d = 6`
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