Home
Class 10
MATHS
For a rhambus ABCD , prove that 4 AB ^(...

For a rhambus ABCD , prove that ` 4 AB ^(2) = AC^(2) + BD^(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 12

    EDUCART PUBLICATION|Exercise PART - A (SECTION -II) |14 Videos

  • SAMPLE PAPER 12

    EDUCART PUBLICATION|Exercise PART - B (SECTION -III) |9 Videos

  • SAMPLE PAPER - 6

    EDUCART PUBLICATION|Exercise PART - B (SECTION - IV)|13 Videos

  • SAMPLE PAPER 5

    EDUCART PUBLICATION|Exercise Part B (Section - V)|4 Videos

Similar Questions

Explore conceptually related problems

In a rhombus ABCD, prove that AC^(2) + BD^(2) = 4AB^(2)

In rhombus ABCD,show that 4AB^(2)=AC^(2)+BD^(2)

In a rhombus prove that sum of squares of sides is equal to sum of square of diagonals or, In a rhombus ABCD prove that AB^(2)+BC^(2)+CD^(2)+DA^(2)=AC^(2)+BD^(2)

In a square ABCD, show that AC^(2) = 2AB^(2) .

In a Delta ABC , angleB is an acute-angle and AD bot BC Prove that : (i) AC^(2) = AB^(2) + BC^(2) - 2 BC xx BD (ii) AB^(2) + CD^(2) = AC^(2) + BD^(2)

In fig.if ,prove that AB^(2)+CD^(2)=BD^(2)+AC^(2)

In the given figure if AD bot BC prove that AB^(2)+CD^(2)= BD^(2) +AC^(2)

In any triangle ABC,prove that AB^(2)+AC^(2)=2(AD^(2)+BD^(2)), where D is the midpoint of BC .

In a quadrilateral ABCD ,prove that AB^(2)+BC^(2)+CD^(2)+DA^(2)=AC^(2)+BD^(2)+4PQ^(2) where P and Q are middle points of diagonals AC and BD.

In a Delta ABC, /_ B is an acute-angle and AD bot BC . Prove that: AB^2 + CD^2 = AC^2 + BD^2