Home
Class 10
MATHS
Prove that sum of the squares of the si...

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

Answer

Step by step text solution for Prove that sum of the squares of the side of a rhombus is equal to the to the sum of the squares of its diagonals. by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    NCERT KANNAD|Exercise OPTIONAL EXERCISE|2 Videos

  • SIMILAR TRIANGLES

    NCERT KANNAD|Exercise TRY THIS|3 Videos

  • SIMILAR TRIANGLES

    NCERT KANNAD|Exercise EXERCISE - 8.3|6 Videos

  • SETS

    NCERT KANNAD|Exercise Try This|11 Videos

  • TANGENTS AND SECANTS TO A CIRCLE

    NCERT KANNAD|Exercise Try this|3 Videos

Similar Questions

Explore conceptually related problems

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

Prove that the area of a rhombus is equal to half of the product of the diagonals.

Knowledge Check

  • If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to the sum of the squares of their reciprocals, then

    A
    `c^(2) b', a^(2) c, b^(2)a are in A.P
    B
    `c^(2) b, a^(2) c, b^(2)` a are in AP
    C
    `(b)/(c), (a)/(b), (c)/(a)` are in G.P.
    D
    `(a)/(b), (b)/(c), (c)/(a)` are in G.P.

  • The sum of the roots of the equation x^(2) + px + q = 0 is equal to the sum of their squares, then :

    A
    `p^(2) - q^(2) = 0`
    B
    `p^(2) + q^(2)` = 2q
    C
    `p^(2) + p = 2q`
    D
    None of these

  • If sum of the roots of the quadratic equation ax^(2) + bx+c = 0 is equal to the sum of the squares of their reciprocals, then (a)/(c ) , ( b )/( a ) and ( c )/( b ) are in :

    A
    geometric progression
    B
    harmonic progression
    C
    arithmetic-geometric progression
    D
    arithmetic progression

    • Similar Questions

    Explore conceptually related problems

    If the sum of squares of two sides is equal to square of third side then DeltaABC is

    Prove that "In a right triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides".

    Prove that "In a right angled triangle the square of hypotenuse is equal to the sum of the square of the other two sides".

    "If the square on the longest sides of a triangle is equal to the sum of the squares on the other two sides then those two sides contain a right angle." Prove.

    In an equilateral triangle , prove that three times the square pf one side is equal to four times the square of one of its altitudes.

    Home
    Profile