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ABC is an equilateral triangle of sides ...

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

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R G PUBLICATION-TRIANGLES-EXERCISE
  1. ABC is an isosceles triangle right angled at C.Prove thatAB^2=2AC^2.

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

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

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

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

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

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

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  8. A guy wire attached to a vertical pole of heigh 18 m is 24 m long and ...

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

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

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

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  12. The perpendicular from A on side BC of atriangleABC intersects BC at ...

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

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  14. In an equilateral triangle, prove that three times the square of one s...

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  15. Tick the correct answer and a justify :In triangleABC,AB=6sqrt3,AC=12c...

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  16. In Fig.6.56,PS is the bisector of angleQPR of trianglePQR.Prove that (...

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  17. In Fig.6.57, D is point on hypothenuse AC of triangleABC,such thatBD|A...

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  18. In Fig.6.58, ABC is a triangle in which angleABC>90^@ and AD|CBproduce...

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  19. In Fig.6.59, ABC is a triangle in which angleABC<90^@ and AD|BC.Prove ...

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  20. In Fig.6.60, AD is a median of a triangle ABC and AM|BC.Prove that :(i...

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