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Relation between Areas and Sides of Similar Triangles

In the given ...

Question

In the given figure, ∆ ABC, DE || BC, AD: DB = 3: 2. Find AD: AB, DE: BC. Find ratio of areas of ∆ DEF & ∆ BFC

A

3 : 5, 3 : 5, 25 : 9

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B

3 : 4, 3 : 4, 9 : 64

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C

3 : 4, 3 : 4, 9 : 16

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D

4 : 5, 4 : 5, 16 : 25

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E

3 : 5, 3 : 5, 9 : 25

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Solution

The correct option is E
3 : 5, 3 : 5, 9 : 25

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Similar questions

In the given figure, ABC is a triangle. DE is parallel to and $\frac{A D}{D B} = \frac{3}{2}$

(i) Determine the ratio $\frac{A D}{A B}$ .

(ii) What is the ratio of the areas of $Δ D E F$ and $Δ B F C ?$

Q. In the given figure, ABC is a triangle, DE is parallel to BC and

\frac{A D}{D B} = \frac{3}{2}

i) Determine the ratios

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

Δ D E F

Δ C B F

\frac{E F}{F B}

iii) What is the ratio of the areas of

Δ D E F

Δ B F C

Q. The point of intersection of the curves

arg (z - 3 i) = \frac{3 π}{4}

arg (2 z + 1 - 2 i) = \frac{π}{4}

Q. In the figure given below,

D E ∥ B C

A D : D B = 1 : 2

, find the ratio of the areas of

△ A D E

D B C E

.

Δ A B C \sim Δ D E F

and their areas are

{36 c m}^{2}

{64 c m}^{2}

respectively.If side AB=3 cm. Find DE.

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