MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Basic Proportionality Theorem

In ABC, DE ...

Question

In $△$ ABC, DE || BC, AD = 5.7 cm, BD = 9.5 cm, EC = 6 cm. Find AE.

Open in App

Solution

Given: In $△$ $A B C$ ,
$D E | | B C$

$∴ \frac{A D}{D B} = \frac{A E}{E C}$ ( $∵$ BPT)

$\frac{5.7}{9.5} = \frac{A E}{6}$

$∴ A E = \frac{5.7 \times 6}{9.5}$

$∴ A E = 3.6$ cm

Suggest Corrections

thumbs-up

1

Similar questions

D E ∥ B C

△ A B C, A D = 1.5 c m, B D = 3 c m

A E = 1 c m

E C

In a $Δ A B C$ , D and E are points on the sides AB and AC respectively. For each of the following cases show that DE || BC:
(i) AB = 12cm, AD = 8 cm, AE = 12 cm and AC= 18cm.
(ii)AB = 5.6cm, AD= 1.4cm, AC = 7.2 cm and AE= 1.8 cm.
(iii) AB= 10.8 cm, BD= 4.5cm, AC = 4.8cm and AE =2.8 cm.
(iv)AD = 5.7cm, BD = 9.5cm, AE = 3.3cm and EC = 5.5 cm.

△

A B C, D

E

are points on the sides AB and AC 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

.

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 c m

.

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

.

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 .

△

∥

BC, AD = 2.4 cm, AE = 3.2 cm and CE = 4.8 cm then BD = ......

Q. In the given figure,

Δ A B C \sim Δ A D E

A E = 2 c m, E C = 3 c m

D E = 1.6 c m

B C

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Basic Proportionality Theorem

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Basic Proportionality Theorem

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon