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A B C is a right triangle right-angled a...

`A B C` is a right triangle right-angled at `Ca n dA C=sqrt(3)B C` . Prove that `/_A B C=60^0dot`

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To prove that angle ABC is 60 degrees in triangle ABC, where C is the right angle and AC = √3 * BC, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the triangle and given information**: - Triangle ABC is a right triangle with the right angle at C. - We are given that AC = √3 * BC. ...
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Knowledge Check

  • In a right triangle ABC, right angled at C, if a = 7 cm and b = 7 sqrt(3) cm, then angleA =

    A
    `30^(@)`
    B
    `60^(@)`
    C
    `45^(@)`
    D
    none of these

  • In a right angled triangle a^2+b^2+c^2 is :

    A
    `R^2`
    B
    `4R^2`
    C
    `8R^2`
    D
    none of these

  • Let triangleABC is a right angled triangle right angled at A such that A(1,2),C(3,1) and area of triangleABC=5sqrt(5) then abscissa of B can be

    A
    `1+5sqrt(2)`
    B
    `1+2sqrt(5)`
    C
    `1-5sqrt(2)`
    D
    `3+2sqrt(5)`

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