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In a A B C , find the measures of the a...

In a ` A B C` , find the measures of the angles of the triangle formed by joining the mid-points of the sides of this triangle.

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To solve the problem of finding the measures of the angles of the triangle formed by joining the midpoints of the sides of triangle ABC, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Triangle and Midpoints**: - Let triangle ABC be given with vertices A, B, and C. - Identify the midpoints of the sides AB, BC, and AC. Let's denote these midpoints as D, E, and F respectively. Thus, D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of AC. ...
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RD SHARMA-QUADRILATERALS-All Questions
  1. Prove that the figure formed by joining the mid-points of the pair of ...

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  2. In Figure, A D is the median and D E A Bdot Prove that B E is the med...

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  3. In a A B C , find the measures of the angles of the triangle formed b...

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  4. In A B C ,A D is the median through A and E is the mid-point of A D ....

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  5. In Figure, A D , and B E are medians of A B C and B E || D Fdot Prove...

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  6. P ,Q and R are, respectively, the mid-points of sides B C ,C A and A B...

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  7. P is the mid-point of side A B of a parallelogram A B C D . A Line thr...

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  8. In Figure, A B C D isa trapezium in which side A B is a parallel to si...

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  9. In Figure, A B C D is a parallelogram. E and F are the mid-points of t...

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  10. A B C D is a parallelogram. P is a point on A D such that A P=1/3A D a...

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  11. In a A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a n d\ C r...

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  12. In triangle ABC, M ,N and P are the mid-points of A B ,A C and B C res...

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  13. Prove that the line segment joining the mid-points of the diagonals of...

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  14. In a triangle A B C median A D is produced to X such that A D=D Xdot P...

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  15. In Delta ABC the lines are drawn parallel to BC,CA and AB respectively...

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  16. A B C D is a kite having A B=A D and B C=C D . Prove that the figure f...

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  17. Prove that In a parallelogram, opposite side are equal

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  18. The opposite angles of a parallelogram are equal.

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  19. The sides B A and D C of a quadrilateral A B C D are produced as shown...

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  20. In a quadrilateral A B C D ,A O andB O are the bisectors of /A and /B ...

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