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A D is a median of Delta A B C . The ...

`A D` is a median of ` Delta A B C` . The bisector of `/_A D B` and `/_A D C` meet AB and AC in E and F respectively. Prove that EF||BC

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O is any point inside a triangle A B C . The bisector of /_A O B ,/_B O C and /_C O A meet the sides A B ,B C and C A in point D ,E and F respectively. Show that A D * B E * C F=D B * E C * F A

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RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. ABCD is a quadrilateral in which AB=AD . The bisector of  BAC a...

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  2. In /\A B C ,D is the mid-point of BC and ED is the bisector of the /A...

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  3. A D is a median of Delta A B C . The bisector of /A D B and /A D C...

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  4. In Figure, A B C is a right triangle right angled at B and points Da n...

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  5. In a triangle A B C , the angles at B and C are acute. If BE and CF b...

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  6. Prove that in any triangle the sum of squares of any two sides is equa...

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  7. AD is an altitude of an equilateral triangle ABC. On AD as base...

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  8. A ladder 15 m long reaches a window which is 9 m above the ground o...

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  9. Prove that three times the sum of the squares of the sides of a tri...

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  10. In Figure, D , E are points on sides A B and A C respectively of /\A ...

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  11. In the trapezium ABCD,AC and BD intersect at O and also AB=2CD If the ...

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  12. ABC is an isosceles triangle right-angled at B. Similar triangles ...

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  13. In Figure, DE||BC and AD : D B=4: 5. Find (A r e a( D E F))/(A r e a( ...

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  14. ABC is a right triangle right-angled at B. Let D and E be any points o...

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  15. P and Q are the mid-points of the CA and CD respectively of a tri...

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  16. A girl of height 90 cm is walking away from the base of a lamp-post...

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  17. If A B C is a right triangle right-angled at Ba n dM ,N are the mid-...

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  18. Determine whether the triangle having sides (a-1)c m ,2sqrt(a)c m and ...

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  19. If triangle A B C is similar to triangle D E F such that B C=3cm ,...

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  20. The perimeters of two similar triangles are 30cm and 20cm respectively...

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