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Standard VII

Mathematics

RHS Criteria for Congruency

In ABC ∼ DE...

Question

In $△ A B C \sim △ D E F$ such that $A B = 1.2 c m$ and $D E = 1.4 c m$ . Find the ratio of areas of $△ A B C$ and $△ D E F$ .

36 : 50

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49 : 50

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36 : 49

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1 : 2

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Solution

The correct option is B $36 : 49$
We know that area of two similar triangle is equal to the ratio of the squares of any two corresponding sides
$\frac{a r (△ A B C)}{a r (△ D E F)} = \frac{A B^{2}}{D E^{2}} = \frac{(1.2)^{2}}{(1.4)^{2}} = \frac{36}{49}$

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Similar questions

If $△$ ABC ~ $△$ DEF such that AB = 1.2 cm and DE = 1.4 cm . Find the ratio of area of $△$ ABC and $△$ DEF.

$I f △ A B C \sim△ D E F s u c h t h a t A B = 6 c m a n d D E = 7 c m . F i n d t h e r a t i o o f a r e a s o f △ A B C a n d △ D E F .$

Q. Triangles ABC and DEF are similar.

(i) If area (

△ A B C

)= 16

{cm}^{2}

, area(

△

DEF)= 25

{cm}^{2}

and

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, find

E F

(ii) If area (

△ A B C

)= 9

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, area(

△

DEF) = 64

{cm}^{2}

and

D E = 5.1 cm

, find

A B

(iii) If

A C = 19 cm

and

D F = 8 cm

, find ratio of the area of two triangles.

(iv) If area (

△ A B C

)= 36

{cm}^{2}

, area (

△

DEF) =64

{cm}^{2}

and

D E = 6.2 cm

, find

A B

(v) If

A B = 1.2 cm

and

D E = 1.4 cm

, find the ratio of the areas of triangle

A B C

and

D E F

Q. If

△ A B C \sim △ D E F

such that AB=1.2 cm and DE=1.4 cm. Find the ratio of areas of

△ A B C

and

△ D E F

If $△ A B C \sim △$ DEF such that AB = 12 cm and DE = 14 cm. Find the ratio of areas of $△$ ABC and $△$ DEF.

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In △ABC∼△DEF such that AB=1.2 cm and DE=1.4 cm. Find the ratio of areas of △ABC and △DEF.

The correct option is B 36:49We know that area of two similar triangle is equal to the ratio of the squares of any two corresponding sidesar(△ABC)ar(△DEF)=AB2DE2=(1.2)2(1.4)2=3649

In $△ A B C \sim △ D E F$ such that $A B = 1.2 c m$ and $D E = 1.4 c m$ . Find the ratio of areas of $△ A B C$ and $△ D E F$ .

The correct option is B $36 : 49$
We know that area of two similar triangle is equal to the ratio of the squares of any two corresponding sides
$\frac{a r (△ A B C)}{a r (△ D E F)} = \frac{A B^{2}}{D E^{2}} = \frac{(1.2)^{2}}{(1.4)^{2}} = \frac{36}{49}$