Home
Class 9
MATHS
In Fig. 9.15, ABCD is a parallelogram, ...

In Fig. 9.15, ABCD is a parallelogram, `A E_|_D C`and `C F_|_A D`. If `A B\ =\ 16\ c m`, `A E\ =\ 8\ c m`and `C F\ =\ 10\ c m`, find AD.

Text Solution

Verified by Experts

`AD=BC`
`AB=DC`
In `ABXE`
`EC||AB` (area of parallelogram)
`DC||AB`
Area of `AXBE=160cm^2`
From theorem 9.1
`"area(AXBE)=area(ABCD)="``160cm^2`
...
Promotional Banner

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    NCERT ENGLISH|Exercise Exercise 9.3|16 Videos

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    NCERT ENGLISH|Exercise EXERCISE 9.4|8 Videos

  • CIRCLES

    NCERT ENGLISH|Exercise Exercise 10.3|3 Videos

Similar Questions

Explore conceptually related problems

In Figure, A B C D is a parallelogram, A E\ _|_D C\ a n d\ CC F_|_A D . If A B=16 C M ,\ A E=8c m\ a n d\ C F=10 c m , find A D

In Figure, A B C D is a parallelogram, D L_|_A B and D M_|_B Cdot If A B=18\ c m , B C=12\ c m and D M=9. 3\ c m , find D L .

In the given figure, A B C D is a parallelogram C M_|_A B and B L_|_A D . (a) If \ A B=16\ c m ,\ A D=12\ c m , C M=10\ c m ,\ find \ B L\ (b) If \ A D=10 c m ,\ C M=8c m ,\ B L=12\ c m ,\ find A B .

In Fig. 21, A B C D is a parallelogram, D L_|_A Bdot If A B=20\ c m , A D=13\ c m and area of the parallelogram is 100 c m^2 find A Ldot

In Fig. 4.140, /_A B C=90o and B D_|_A C . If A B=5. 7 c m , B D=3. 8\ c m and C D=5. 4 c m , find B C . (FIGURE)

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= (a) 3 cm (b) 6 cm (c) 8 cm (d) 10.5 cm

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)

In Figure, /_A B C=90^o and B D_|_A C . If B D=8c m , A D=4c m , find C D .

Draw a parallelogram A B C D in which A B=8c m ,\ A D=5c m\ a n d\ /_A=60^0dot

In Fig.40, A B C D is a parallelogram of area 144 c m^2, the value of x is (a) 8 (b) 6 (c) 9 (d) 10