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Prove that the area of an equilateral tr...

Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.

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R G PUBLICATION-TRIANGLES-EXERCISE
  1. D,E and F are respectively the mid-points of sides AB,BC and CA of tri...

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  2. Prove that the ratio of the areas of two similar triangle is equal to ...

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  3. Prove that the area of an equilateral triangle described on one side o...

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  4. ABC and BDE are two equilateral triangles such that D is the mid-point...

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  5. Sides of two similar triangle are in the ratio 4:9.Areas of these tria...

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  6. Sides of triangle are given below.Determine which of them are right tr...

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  7. Sides of triangle are given below.Determine which of them are right tr...

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  8. Sides of triangle are given below.Determine which of them are right tr...

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  9. Sides of triangle are given below.Determine which of them are right tr...

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

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  11. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

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  12. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

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  13. In Fig.6.53,ABD is a triangle right angle at A and AC|BD.Show that (i...

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  14. ABC is an isosceles triangle right angled at C.Prove thatAB^2=2AC^2.

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  15. ABC is an isosceles triangle with AC=BC.If AB^2=2AC^2.prove that ABC i...

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  16. ABC is an equilateral triangle of sides 2a.Find each of its altitudes.

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

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  18. In Fig.6.45,O is a point in the interior of a triangle ABC,OD|BC,OE|AC...

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  19. Fig.6.45,O is a point in the interior of a triangle ABC,OD|BC,OE|AC an...

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  20. A ladder 10 m long reaches a window 8m above the ground. Find the dist...

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