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Let A(3,4) B(5,0), C(0,5) be the vertic...

Let A(3,4) B(5,0), C(0,5) be the vertices of a triangle ABC then orthocentre of `Delta ABC` is `(alpha, beta)` Find `alpha + beta`

Text Solution

Verified by Experts

The correct Answer is:
17
Clearly cirum centre of the `Delta ABC` is `O(0,0)`
As `" " OA = OB = OC = 5 ` and centroid id `G ((8)/(3) , 3)`
Now HG : GO = 2 :1
`alpha = 8 beta = 9 , therefore alpha + beta = 17`
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