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Standard X

Mathematics

Relation between Areas and Sides of Similar Triangles

In the given ...

Question

In the given figure, triangles ABC and DEF are similar. The area of triangle ABC is 9 sq. cm and the area of triangle DEF is 16 sq. cm. If BC = 2.1 cm find the length of EF.

9.4 cm

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4.9 cm

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2.8 cm

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6.8 cm

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Solution

The correct option is C
2.8 cm

Ratio of areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

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Similar questions

△ A B C \sim D E F

. If area of

△ A B C = 9 s q . c m

., area of

△ D E F = 16 s q . c m

and

B C = 2.1 c m

, find the length of

E F

In the given figure, $△ A B C$ and $△ D E F$ are similar. If BC = 3 cm, EF = 4 cm and area of $△ A B C$ is 54 cm $^{2}$ , then the area of $△ D E F$ is _____ cm $^{2}$ .

Q. Triangles

A B C

and

D E F

are similar.

(i) If area (

△

ABC)=

16

c m^{2}

, area(

△

DEF)=

25

c m^{2}

and BC =

2.34

cm, find EF.

(ii) If area (

△

ABC)=

9

c m^{2}

, area(

△

DEF) =

64

c m^{2}

and DE=

5.1

cm, find AB.

(iii) If AC =

19

cm and DF=

8

cm, ratio of the area of two triangles.

(iv) If area (

△

ABC)=

36

c m^{2}

, area (

△

DEF) =

64

c m^{2}

and DE=

6.2

cm, find AB.

(v) If AB=

1.2

cm and DE=

1.4

find the ratio of the areas of triangle ABC and DEF.

In given figure $△$ ABC and $△$ DEF are similar, BC=3cm, EF=4cm, and area of triangle ABC=54 $c m^{2}$ find the area of $△$ DEF

Q. Triangles

A B C

and

D E F

are similar .The area of

△ A B C

16 c m^{2}

, and that of

△ D E F 25 c m^{2}

. If

B C = 2.3 c m

, find

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In the given figure, triangles ABC and DEF are similar. The area of triangle ABC is 9 sq. cm and the area of triangle DEF is 16 sq. cm. If BC = 2.1 cm find the length of EF.

The correct option is C 2.8 cmRatio of areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

The correct option is C
2.8 cm

Ratio of areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.