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In an equilateral triangle, prove tha...

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

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The correct Answer is:
`4AD^(2)`
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EDUCART PUBLICATION-TRIANGLES-SHORT ANSWER (SA-I) TYPE QUESTIONS
  1. Two sides and the perimeter of one triangle are respectively three tim...

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  2. If in two right triangles, one of the acute angles of one triangle is ...

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  3. D is a point on side QR of DeltaPQR such that PDbotQR. Will it be corr...

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  4. In Figure D E A C and D C a pdot Prove that (B E)/(E C)=(B C)/(C P)

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  5. Is it true to say that, if in two triangles, an angle of one triangle ...

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  6. In an equilateral triangle, prove that three times the square of on...

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  7. PE = 4 m, QE = 4.5 m, PF = 8 m and RF = 9 m. Is EF |\| QR? Justify ...

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  8. Given that PQ = 16 m, KB = 16 m, PH = 35 m and QK = 20 m, Find: ...

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  9. Given that PQ = 16 m, KB = 16 m, PH = 35 m and QK = 20 m, Find HK

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  10. triangle ABC - triangle DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 ...

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  11. P and Q are the points on the sides DE and DF of a triangle DEF such t...

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  12. In the given figure, OC.OD = OA.OB Show that : angle A = angle D " a...

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  13. Given that triangle PQR is similar to triangle BAR, find the value ...

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  14. triangle PQR is similar to triangle BAR, find: the value of y:

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  15. In the given figure, find the value of x in terms of a, b and c.

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  16. R and S are points on the sides DE and EF respectively fo a triangle D...

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

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  18. The areas of two similar triangles are 36\ c m^2 and 100\ c m^2 . I...

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  19. If DeltaABC~DeltaDEF, AB=4cm, DE=6,EF=9 cm and FD=12 cm, then find the...

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  20. In Fig. 7 .27, if DeltaABC~ DeltaDEF and their sides are oflengths (in...

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