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In equilateral triangleABC, ADbotBC. Pro...

In equilateral `triangleABC, ADbotBC.` Prove that `3BC^2= 4AD^2.`

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Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Use the above theorem, in the following. If ABC is an equilateral triangle with AD bot BC , then prove that AD^(2) = 3DC^(2) .

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CBSE COMPLEMENTARY MATERIAL-TRIANGLE-Short Answer Type Questions-II
  1. In the given figure, (QR)/(QS)= (QT)/(PR) and angle1 = angle2 then pro...

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  2. In equilateral triangleABC, ADbotBC. Prove that 3BC^2= 4AD^2.

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  3. In the given figure angleABC=90^(@) and CD bot AB. Prove that (BC^(2)...

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  4. In Fig. 4.179, A B C and D B C are on the same base B C . If A...

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  5. If AD and PS are medians of triangleABC and trianglePQR respectively w...

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  6. In the given figure, DE || AC. Which of the following is correct? x=(...

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  7. Prove that the sum of the squares of the sides of a rhombus is equa...

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  8. A street light bulb is fixed on a pole 6 m above the level of the stre...

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  9. Two poles of height a metres and b metres are p metres apart. Prove th...

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  10. In the given figure AB || PQ || CD, AB=x, CD=y and PQ=z. Prove that 1/...

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  11. In the given figure (PS)/(SQ)=(PT)/(TR) and anglePST = anglePRQ. Prove...

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  12. In the figure, a point O inside triangleABC is joined to its vertices....

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  13. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

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  14. The Hypotenuse of a right triangle is 25 cm and out of the remaining t...

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  15. In the given figure DE || AC and (BE)/(EC)=(BC)/(CP). Prove that DC |...

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  16. In a quadrilateral ABCD, angleB=90^(@) and AD^(2)= AB^(2) + BC^(2)+CD^...

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  17. In the given figure, DE || BC, DE= 3 cm, BC = 9 cm and ar (DADE) = 30c...

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  18. In an equilateral triangle ABC, D is a point on side BC such that B D=...

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  19. Ii DeltaPQR, PDbotQR such that D lies on QR, if PQ=a,PR=b,QD=c and DR=...

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  20. The ratio of the the areas of two similar triangles is equal to the ra...

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