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If a,b and c are the lengths of the side...

If a,b and c are the lengths of the sides of a right triangle ABC with `c=2a` and `b^(2)-3a^(2)=0`, then `angleABC=……………………`

A

`60^(@)`

B

`30^(@)`

C

`45^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A

Given: that, c=2a and `b^(2)-3a^(2)=0, rArr b=sqrt(3)a`.
`a:b:c=a:sqrt(3)a:2a=1:sqrt(3):2`.
`therefore angleA=30^(@), angleB=60^(@)` and `angleC=90^(@)`.
So, `angleABC=60^(@)`.
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