MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

RHS Criteria for Congruency of Triangles

Two triangles...

Question

Two triangles $A B C$ and $P Q R$ are similar, if $B C : C A : A B = 1 : 2 : 3$ , then $\frac{Q R}{P R}$

A

\frac{3}{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

\frac{1}{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

\frac{1}{\sqrt{2}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

\frac{2}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $\frac{1}{2}$
$\Rightarrow \frac{A B}{P Q} = \frac{A C}{P R} = \frac{B C}{Q R}$
$\Rightarrow \frac{Q R}{P R} = \frac{B C}{A C} = \frac{1}{2}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Two triangles ABC and POR are similar, if

B C : C A : A B = 1 : 2 : 3

\frac{Q R}{P R}

Q. Two tiangles

A B C a n d P Q R

are similar, if

B C : C A : A B = 1 : 2 : 3

\frac{Q R}{P R}

Q. If the two triangles

A B C

P Q R

are similar and

x : y = 1 : 2

△ P Q R

\frac{P Q}{1} = \frac{P R}{2} = \frac{Q R}{\sqrt{3}}

m ∠ R (i n d e g r e e s) = . . . . . . . .

△ P Q R, \frac{P Q}{1} = \frac{P R}{2} = \frac{Q R}{\sqrt{3}}

m ∠ R =

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Right-Angle Hypotenuse Congruency

MATHEMATICS

Watch in App

explore_more_icon

Explore more

RHS Criteria for Congruency of Triangles

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon