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Equilateral triangles are drawn on the s...

Equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

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RD SHARMA-TRIANGLES-All Questions
  1. In Figure D E A C and D C a pdot Prove that (B E)/(E C)=(B C)/(C P)

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

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  3. Equilateral triangles are drawn on the sides of a right triangle. Show...

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  4. Two triangle ABC and D B C lie on the same side of the base B C . From...

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  5. A B C D is a quadrilateral; P , Q , Ra n dS are the points of trisecti...

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  6. A B C D is a parallelogram and A P Q is a straight line meeting B C at...

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  7. ABCD is a quadrilateral in which P, Q, R and S are mid-points of th...

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  8. Through the mid-point M of the side C D of a parallelogram A B C D , t...

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  9. D is the mid-point of side BC at a triangle ABC.AD is bisected ...

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  10. Fill in the blanks using the correct word given in brackets: All ci...

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  11. Fill in the blanks using the correct word given in brackets: Two ...

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  12. Write the truth value (T/F) of each of the following statements:(1) ...

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  13. Write the truth value (T/F) of each of the following statements: (1)...

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  14. In a given triangle A B C ,D E||B C and (A D)/(D B)=3/5dot If A C=5....

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  15. In Fig. 4.13, L M A Bdot If A L=x-3,\ \ A C=2x ,\ \ B M=x-2 and B ...

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  16. In Fig. if S T || Q R . Find P S . (FIGURE)

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  17. In Fig.4.15 (i) and (ii), P Q B C . Find Q C in (i) and A Q in (ii...

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  18. In Fig. if E F|| D C|| A Bdot Prove that (A E)/(E D)=(B F)/(F C) . (...

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  19. In Fig. if E F|| D C|| A Bdot Prove that (A E)/(E D)=(B F)/(F C) . (...

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  20. In Fig. if P Q|| B C and P R|| C D . Prove that (i) (A R)/(A D)=(A...

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