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Prove that the sum of the squares of the...

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.

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Knowledge Check

  • If the sum of the squares of the sides of a triangles ABC is equal to twice the square of its circum diameter , then sin ^(2) A + sin ^(2) B + sin ^(2) C =

    A
    ` 4`
    B
    `3`
    C
    ` 1`
    D
    `2`

  • If the sum of the squares of the sides of a triangle ABC is equal to twice the square of its circum diameter, then sin^2A+sin^2B+sin^2C =

    A
    4
    B
    3
    C
    1
    D
    2

  • The sun of the squares of the sides of a triangle is 32 then the sum of the squares of the medians of the triangle is

    A
    20
    B
    24
    C
    16
    D
    26

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    Prove that three times the square of any side of an equilateral Triangle is equal to four times the square of the altitude.

    IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squares of the roots, then……..

    IF twice the square of the radius of a circle is equal to half the sum of the squares of the sides of inscribed triangle ABC, then sin^2 A+sin^2 B+sin^2 C=

    If the sum of the roots of x^(2) + bx + 1 = 0 , is equal to the sum of their squares, then b =

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