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The area of a triangle with vertices (a,...

The area of a triangle with vertices (a,b+c), (b,c+a) and (c,a+b) is

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If a+b+c=lambda, then circumcentre of the triangle with vertices (a,b,c);(b,c,a) and (c,a,b) is

The area of the triangle formed by (a,b+c),(b,c+a) and (c,a+b) is a+b+c( b) abc(a+b+c)^(2)(d)0

Knowledge Check

  • The area of the triangle with vertices at (a, b+c), (b, c+a) and (c, a+b) is

    A
    `0`
    B
    a-b-c
    C
    ab+bc+ca
    D
    a+b+c

  • If the area of the triangle whose vertices are (b, c), (c, a) and (a, b) is Delta , then the area of triangle whose vertices are (ac - b^2, ab -c^2), (ba-c^2, bc-a^2) and (cb-a^2, ca - b^2) , is

    A
    `Delta^2`
    B
    `(a+b+c)^2 Delta`
    C
    `a Delta+b Delta^2`
    D
    None of these

  • The area of triangle having vertices A(a,b+c) B(a,b,-c) and C(-a,c) where (a,b,c > 0 ) , is

    A
    ac
    B
    2ac
    C
    3ac
    D
    4ac

    • Similar Questions

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    The area of triangle formed by vertices are (b,c),(c,a) and (a,b) is Delta, and the area of triangle whose vertices are (ac-b^(2),ab-c^(2)),(ab-c^(2),bc-a^(2)) and (bc-a^(2),ac-b^(2)) is Delta'. If a,b,c represent the sides of triangle of perimeter 16. Then the value of (Delta')/(64Delta)=

    Write the area of the triangle having vertices at (a,b+c),(b,c+a),(c,a+b)

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    The vertices of a triangle are (a, b - c), (b, c - a) and (c, a - b). Prove that its centroid lies on x-axis.

    What are the coordinates of the centroid of the triangle having vertices as (a,b-c), (b,c-a) and (c,a-b)?

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