CameraIcon

SearchIcon

MyQuestionIcon

Quantitative Aptitude

In the figure...

Question

In the figure, AD = 12 cm, AB = 20 cm and AE = 10 cm. Find EC:

A

14 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

10 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

8 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

15 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 14 cm
$Δ A D E$ ~ $Δ A C B$ (A - A - A Property)
$∴$ $\frac{A E}{A B}$ = $\frac{A D}{A C}$
$\frac{10}{20} = \frac{12}{A C} \Rightarrow A C = 24 c m$
$E C = A C - A E = 24 - 10 = 14 c m$

Suggest Corrections

thumbs-up

2

mid-banner-image

mid-banner-image

Similar questions

In the above figure ∆ABC~∆ADE. Given that AD=x cm, DB =x-3 cm, AE=4cm, EC=3 cm. What is the value of x?

A B C D

is a parallelogram,

A E ⊥ D C

C F ⊥ A D

A B = 16 c m, A E = 8 c m

C F = 10 c m

A D

.

D and E are points on the sides AB and AC respectively of a $Δ A B C$ . In each of the follwing cases, determine whether DE || BC or not.

(i) AD = 5.7 cm, DB = 9.5 cm, AE = 4.8 cm and EC = 8 cm.

(ii) AB = 11.7 cm, AC = 11.2 cm, BD = 6.5 cm and AE = 4.2 cm.

(iii) AB = 10.8 cm, AD = 6.3 cm, AC = 9.6 cm and EC = 4 cm.

(iv) AD = 7.2 cm, AE = 6.4 cm, AB = 12 cm and AC = 10 cm.

In the given Figure,

A B C D

is a parallelogram,

A E ⊥ D C

C F ⊥ A D

A B = 16 c m, A E = 8 c m

C F = 10 c m

A D

.

Q. D and E are points on the sides AB and AC respectively of a

∆ A B C

. In each of the following cases, determine whether

D E ∥ B C

A D = 5.7 cm, D B = 9.5 cm, B D = 4.8 cm and E C = 8 cm .

A B = 11.7 cm, A C = 11.2 cm, B D = 6.5 cm and A E = 4.2 cm .

A B = 10.8 cm, A D = 6.3 cm, A C = 9.6 cm and E C = 4 cm .

A D = 7.2 cm, A E = 6.4 cm, A B = 12 cm and A C = 10 cm .

View More

similar_icon

Related Videos

lock

Bulls Eye View of Geometry

QUANTITATIVE APTITUDE

Watch in App

explore_more_icon

Explore more

Other Quantitative Aptitude