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Prove that the area of an equilateral tr...

Prove that the area of an equilateral triangle described on a side of a right-angled isosceles triangle is half the area of the equilateral triangle described on its hypotenuse.

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VK GLOBAL PUBLICATION-TRIANGLES-LONG ANSWER QUESTIONS
  1. The line drawn from the midpoint of one side of a triangle parallel to...

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  2. ABCD is a trapezium in which AB||DC and its diagonals intersect each ...

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  3. If AD and PM are medians of triangles ABC and PQR, respectively where...

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  4. In Fig. 4.123, ABCD is a trapezium with AB || DC. If Delta AED is sim...

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  5. Prove that the area of an equilateral triangle described on a side of ...

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  6. If the areas of two similar triangles are equal, prove that they ar...

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  7. The areas of the two similar triangles are in the ratio of the square ...

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  8. O is the a point in the interior of Delta ABC, OD bot BC, OE bot AC an...

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

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

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  11. Prove that, if a line is drawn parallel to one side of a triangle to i...

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  12. In DeltaABC A = 90^@ and AC | BD, then Show that (a) AB^2=BC.BD (b) A...

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  13. Diagonals of a trapezium ABCD with AB || DC intersect each other at...

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  14. Prove that, in a right triangle, the square of the hypotenuse is equal...

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  15. In a triangle, if the square on one side is equal to the sum of the sq...

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  16. ABC is a triangle in which AB = AC and D is a point on AC such that ...

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  17. Prove that the area of an equilateral triangle described on one sid...

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

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