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

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In an equilateral triangle with side a, prove that the altitude is of length (asqrt3)/2

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

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

Prove that three xx the sum of the squares of the sides of a triangle is equal to four xx the sum of the squares of the medians of the triangle.

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OSWAL PUBLICATION-TRIANGLES-NCERT CORNER ( TEXTBOOK QUESTIONS) ( EXERCISE - 6.5 )
  1. Sides of triangles are given below. Determine which of them are right ...

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  2. PQR is a triangle right angled at P and M is a point on QR such that ...

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  3. In the figure given below ABC is a triangle right angled at A and AC b...

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  4. In the figure given below ABC is a triangle right angled at A and AC b...

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  5. In the figure given below ABC is a triangle right angled at A and AC b...

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  6. ABC is an isosceles triangle right angled at C. Prove that A B^2=2A C...

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  7. ABC is an isosceles triangle with AC = BC. If A B^2=2A C^2, prove tha...

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  8. ABC is an equilateral triangle of side 2a. Find each of its altitudes...

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

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  10. In fig., O is a point in the interior of a triangle ABC, OD ⊥ BC, OE...

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  11. In the figure given below O is a point in the interior of a triangle A...

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  12. A ladder 10m long reaches a window 8 m above the ground. Find the d...

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  13. A guy wire attached to a vertical pole of height 18m is 24m long an...

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  14. An aeroplane leaves an airport and flies due north at a speed of 1000...

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  15. Two poles of heights 6 m and 11m stand on a plane ground. If the di...

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  16. D and E are points on the sides CA and CB respectively of a triangle ...

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  17. The perpendicular from A on side BC of a ABC intersects BC at D such t...

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

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  20. Tick the correct answer and justify : In DeltaPQR , PQ = 6sqrt(3) cm ...

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