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If the ortho-centre of a triangle ABC is...

If the ortho-centre of a triangle ABC is B then which of the following is true?

A

`AC^(2) = AB^(2) + BC^(2)`

B

`AC^(2) gt AB^(2) + BC^(2)`

C

`AC^(2) lt AB^(2) + BC^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
In a right triangle, the orthocentre lies at the vertex which contains right angle.
`:.` The given triangle is a right triangle, where `/_ B`
`= 90^(@)`
`:. AC^(2) = AB^(2) + BC^(2)`
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