CameraIcon

SearchIcon

MyQuestionIcon

5

You visited us 5 times! Enjoying our articles? Unlock Full Access!

Converse of Basic Proportionality Theorem

The ratio of ...

Question

The ratio of corresponding sides of two similar triangles $△ A B C$ ~ $△ P Q R$ is given to be 4:7. Find the side QR if BC is given to be 3.5cm.

Open in App

Solution

$\frac{B C}{Q R}$ = $\frac{4}{7}$ ( ratio of corresponding sides is $\frac{4}{7}$ )

So, $\frac{3.5}{Q R}$ = $\frac{4}{7}$

QR= 3.5 $\times$ $\frac{7}{4}$ = 6.125cm

Suggest Corrections

thumbs-up

1

Similar questions

The ratio of $\frac{B C}{C C^{'}}$ is 3:5. What will the ratio of corresponding sides be if triangles ABC and A'BC' are similar? Given that BC and BC' lie
on the same ray BY.

$△ A B C$ is similar to $△ P Q R$ , in $△ A B C, A B = 3.6 c m, B C = 4 c m$ and $A C = 4.2 c m$ . The corresponding sides of $△ A B C$ and $△ P Q R$ are in the ratio $2 : 3$ . Construct $△ P Q R$ .

Find $m ∠ P R Q$ (in deg.)

Q. In the given figure, two sides

A B

B C

A D

B C

△ A B C

are equal to the two sides

P Q

Q R

and the corresponding median

P M

△ P Q R .

Which of the following is not correct

?

Q. Construct a triangle similar to a given

△ A B C

such that each of its sides is

(5 / 7)^{t h}

of the corresponding sides of

△ A B C

. It is given that

A B = 5 c m, B C = 7 c m

∠ A B C = 50^{\circ}

Q. Construct a triangle similar to a given triangle

A B C

with its sides equal to

\frac{3}{4}

of corresponding sides of

△ A 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

Converse of Basic Proportionality Theorem

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon