You visited us 10 times! Enjoying our articles? Unlock Full Access!

Conversion of solid from one shape to another

If the given ...

Question

If the given triangles △ABC and △PQR are similar, then the lengths of the sides x and y are and respectively.

6 cm

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

4 cm

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

2 cm

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

8 cm

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

Open in App

Solution

The correct option is B 4 cm
∆ABC and ∆PQR are similar.
Therefore,
$\frac{A B}{P Q} = \frac{B C}{Q R} = \frac{C A}{R P}$ (side ratio)
$\frac{4}{2} = \frac{x}{3} = \frac{8}{y} = 2$
$x = 6$ cm and $y = 4$ cm

Suggest Corrections

Similar questions

Q. If the given triangles △ABC and △PQR are similar, then find the lengths of the sides x and y.

Q. The perimeter of two similar triangles

A B C

and

P Q R

are

36 c m

and

24 c m

respectively. If

P Q = 10 c m

then the length of

A B

Sides AB and AC and median AD of triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR . Show that triangle ABC is similar to triangle PQR.

Q. In given figures sides

A B

and

B C

and median

A D

of a

△ A B C

are respectively proportional to sides

P Q, Q R

and median

P M

△ P Q R

. Show that

△ A B C \sim △ P Q R

Q. Triangle

A B C

has sides of length

5, 6 a n d 7 u n i t s

while

△ P Q R

has a perimeter of

360 u n i t s

. If

△ A B C

is similar to

△ P Q R

, then find the sides of

△ P Q R

Join BYJU'S Learning Program

If the given triangles △ABC and △PQR are similar, then the lengths of the sides x and y are and respectively.

The correct option is B 4 cm ∆ABC and ∆PQR are similar. Therefore, ABPQ=BCQR=CARP (side ratio) 42=x3=8y=2 x=6 cm and y=4 cm

The correct option is B 4 cm
∆ABC and ∆PQR are similar.
Therefore,
$\frac{A B}{P Q} = \frac{B C}{Q R} = \frac{C A}{R P}$ (side ratio)
$\frac{4}{2} = \frac{x}{3} = \frac{8}{y} = 2$
$x = 6$ cm and $y = 4$ cm