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Mathematics

Similar Figures

ABC is a tria...

Question

ABC is a triangle and DE is drawn parallel to BC cutting the other sides at D and E. If $A B = 3.6 c m, A C = 2.4 c m$ and $A D = 2.1 c m,$ then AE is equal to

1.4 cm

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1.8 cm

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1.2 cm

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1.05 cm

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Solution

The correct option is A
1.4 cm

Since, the triangles are similar,

$\frac{A D}{A B} = \frac{A E}{A C}$

$\Rightarrow \frac{2.1}{3.6} = \frac{A E}{2.4}$

$\Rightarrow A E = \frac{2.1 \times 2.4}{3.6} = 1.4 c m .$

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Similar questions

A B C

is a triangle and

D E

is drawn parallel to

B C

cutting the other sides at

D

and

E

. If

A B = 3.6 c m

A C = 2.4 c m

and

A D = 2.1 c m

, then

A E

is equal to:

In triangle ABC, points D and E lie on sides AB and AC respectively such that DE is parallel to BC.

If AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm, then AE is equal to ____.

A B C

is a triangle and

D E

is drawn parallel to

B C

cutting the other sides at

D

and

E

. If

A B = 3.6 c m, A C = 2.4 c m

and

A D = 2.1 c m

, then

A E

= ______.

Q. In a

△ A B C, D

and

E

are points on the sides

A B

and

A C

respectively such that

D E ∥ B C

. If

A D = 2.4 c m, A E = 3.2 c m, D E ∥ B C

. If

A D = 2.4 c m, A E = 3.2 c m, D E = 2 c m

and

B C = 5 c m

, find

B D

and

C E

Q. Assertion :If in a

△ A B C

, a line

D E ∥ B C

, intersects AB in D and AC in E, then

\frac{A B}{A D} = \frac{A C}{A E}

. Reason: If a line is drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio.

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ABC is a triangle and DE is drawn parallel to BC cutting the other sides at D and E. If AB=3.6 cm, AC=2.4 cm and AD=2.1 cm, then AE is equal to

The correct option is A 1.4 cm Since, the triangles are similar, ADAB=AEAC ⇒2.13.6=AE2.4 ⇒AE=2.1×2.43.6=1.4 cm.

ABC is a triangle and DE is drawn parallel to BC cutting the other sides at D and E. If $A B = 3.6 c m, A C = 2.4 c m$ and $A D = 2.1 c m,$ then AE is equal to

The correct option is A
1.4 cm

Since, the triangles are similar,

$\frac{A D}{A B} = \frac{A E}{A C}$

$\Rightarrow \frac{2.1}{3.6} = \frac{A E}{2.4}$

$\Rightarrow A E = \frac{2.1 \times 2.4}{3.6} = 1.4 c m .$