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D is a point on the side BC of a triangl...

D is a point on the side BC of a triangle ABC such that`angleADC=angleBAC`.Show that`CA^2=CB.CD`.

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R G PUBLICATION-TRIANGLES-EXERCISE
  1. In FIg. 6.40, E is a point on side CB produced of an isosceles triangl...

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  2. Sides AB and BC and median AD of a triangle ABC are respeetively propo...

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  3. D is a point on the side BC of a triangle ABC such thatangleADC=angleB...

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  4. Sides AB and AC and median AD of a triangle ABC are respectively propo...

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  5. A vertical pole of length 6 m casts a shadow 4 m long on the ground an...

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

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  7. Let triangleABC~triangleDEF and their areas be,respectively,64cm^2 and...

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  8. Diagonals of a trapezium ABCD withAB||DC intersect each other at the p...

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  9. If Fig.6.44 ABC and DBC are two triangles on the same base BC.If AD in...

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  10. If the areas of a similar triangle are equal,prove that they are congr...

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  11. D,E and F are respectively the mid-points of sides AB,BC and CA of tri...

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

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

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

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

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

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

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

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

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

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