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In Fig. 4.60, check whether A D is th...

In Fig. 4.60, check whether `A D` is the bisector of `/_A` of ` A B C` in each of the following: (FIGURE) `A B=5c m ,\ \ A C=10 c m ,\ \ B D=1. 5 c m` and `C D=3. 5 c m` (ii) `A B=4c m ,\ \ A C=6c m ,\ \ B D=1. 6 c m` and `C D=2. 4 c m` (iii) `A B=8c m ,\ \ A C=24 c m ,\ \ B D=6c m` and `B C=24 c m`

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In Fig. 4.60, check whether A D is the bisector of /_A of A B C in each of the following: (FIGURE) A B=6c m , A C=8c m , B D=1. 5 c m and C D=2c m (ii) A B=5c m , A C=12 c m , B D=2. 5 c m and B C=9c m

In a A B C , A D is the bisector of /_A , meeting side B C at D . If A D=5. 6 c m , B C=6c m and B D=3. 2 c m , find A C . (ii) If A B=10 c m , A C=6c m and B C=12 c m , find B D and D C .

In a A B C , A D is the bisector of /_A , meeting side B C at D . If A B=10 c m , A C=14 c m and B C=6c m , find B D and D C (ii) If A C=4. 2 c m , D C=6c m and B C=10 c m , find A B . (iii) If A B=5. 6 c m , A C=6c m and D C=3c m , find B C .

In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C respectively. For each of the following cases show that D E B C : A B=10. 8 c m ,\ \ B D=4. 5\ c m ,\ \ A C=4. 8 c m\ a n d\ A E=2. 8 c m (ii) A D=5. 7 c m ,\ \ B D=9. 5 c m ,\ \ A E=3. 3 c m\ a n d\ E C=5. 5 c m .

In which of the following cases can a right triangle A B C be constructed? A B=5\ c m ,\ B C=7\ c m ,\ A C=10\ c m A B=7\ c m ,\ B C=8\ c m ,\ A C=12\ c m A B=8\ c m ,\ B C=17\ c m ,\ A C=15\ c m None of these

In a A B C , A D is the bisector of /_A , meeting side B C at D . If B D=2. 5 c m , A B=5c m and A C=4. 2 c m , find D C . (ii) If B D=2c m , A B=5c m and D C=3c m , find A C . (iii) If A B=3. 5 c m , A C=4. 2 c m and D C=2. 8 c m , find B D .

In a A B C , D a n d E are points on the sides A B and A C respectively. For each of the following cases show that D E B C : A B=12 c m , A D=8 c m , A E=12 c m a n d A C=18 c m . (ii) A B=5. 6 c m , A D=1. 4 c m , A C=7. 2 c m a n d A E=1. 8 cm

In Figure, A B C D is a parallelogram. If A B=12\ c m ,\ \ A E=7. 5\ c m ,\ C F=15\ c m , then A D= 3 cm (b) 6 cm (c) 8 cm (d) 10.5 cm

In a A B C , A D is the bisector of /_B A C . If A B=6c m , A C=5c m and B D=3c m , then D C= 11. 3 c m (b) 2. 5 c m (c) 3:5c m (d) None of these

In Fig. 4.57, A E is the bisector of the exterior /_C A D meeting B C produced in E . If A B=10 c m , A C=6c m and B C=12 c m , find C E . (FIGURE)

RD SHARMA-TRIANGLES-All Questions
  1. In A B C (Fig. 4.59), if /1=/2 , prove that (A B)/(A C)=(B D)/(...

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  2. D ,\ E and F are the points on sides B C ,\ C A and A B respectivel...

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  3. In Fig. 4.60, check whether A D is the bisector of /A of A B C ...

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  4. In Fig. 4.60, check whether A D is the bisector of /A of A B C ...

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  5. In Fig. 4.60, A D bisects /A ,\ \ A B=12 c m ,\ \ A C=20 c m and B ...

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  6. In Fig. 4.69, A B D C . Find the value of x . (FIGURE)

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  7. In Fig. 4.70 if A B C D , find the value of x . (FIGURE)

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  8. In Fig. 4.71, if A B C D , find the value of x . (FIGURE)

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  9. In Fig. 4.72, A B C D . If O A=3x-19 ,\ \ O B=x-4 , O C=x-3 and O ...

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  10. State which pairs of triangles in Figure are similar. Write the sim...

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  11. In Fig. 4.87, find /F . (FIGURE)

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  12. In Fig. 4.88, A C B ~ A P Qdot If B C=8c m , P Q=4c m , B A=6. 5 ...

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  13. In Fig. 4.89, if E D C ~ E B A ,\ \ /B E C=115o and /E D C=70o . ...

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  14. In Fig. 4.90, if P O S ~ R O Q , prove that P S Q R . (FIGURE...

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  15. In Fig. 4.90, if P S Q R , prove that P O S ~ R O Q . (FIGURE...

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  16. In Fig. 4.91, Q A and P B are perpendiculars to A B . If A O=10 ...

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  17. In Fig. 4.94, /C A B=90o and A D|B C . If A C=75 c m , A B=1m and B...

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  18. The perimeters of two similar triangles A B C and P Q R are resp...

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  19. In Fig. 4.95, if /A D E=/B show that A D E ~ A B C . If A D=3. 8 ...

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  20. In Fig. 4.96, (A O)/(O C)=(B O)/(O D)=1/2 and A B=5c m . Find the ...

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