The sides of - ABC are AB -6 cm - BC -8 cm and CA -10 cm- Find the perimeter of the larger triangle - XYZ which is similar to - ABC- if the ratio of their corresponding sides is 2 -A- 36 cmB- 48 cmC- 24 cmD- 12 cm

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

Similar Triangles

The sides of ...

Question

The sides of $Δ ABC$ are AB = 6cm, BC = 8cm and CA =10cm. Find the perimeter of the larger triangle $Δ XYZ$ which is similar to $Δ ABC$ , if the ratio of their corresponding sides is 2.

48 cm

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

36 cm

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

24 cm

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

12 cm

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

Open in App

Solution

The correct option is A 48 cm
Given: Triangle $Δ ABC$ is similar to to be $Δ XYZ$ .
The ratio of corresponding sides is 2.
So, $\frac{X Y}{A B} = \frac{Y Z}{B C} = \frac{X Z}{A C} = 2$
$\Rightarrow \frac{X Y}{6} = \frac{Y Z}{8} = \frac{X Z}{10} = 2$
$\Rightarrow$ XY = 12cm, YZ = 16cm and XZ = 20cm.
The perimeter of $Δ XYZ$ is XY + YZ + XZ = 12 + 16 + 20 = 48cm.

Suggest Corrections

Similar questions

Q. The sides of

Δ ABC

are 6 cm, 8 cm and 10 cm. Find the perimeter of the larger triangle which is similar to

Δ ABC

if the ratio of corresponding sides is 2.

The sides of $Δ ABC$ are $6 c m, 8 c m$ and $10 c m .$ Find the perimeter of the larger triangle which is similar to $Δ ABC$ if the ratio of corresponding sides is 2.

Q. The sides of

Δ ABC

are 6 cm, 8 cm and 10 cm. Find the perimeter of the larger

Δ XYZ

(in cm) which is similar to

Δ ABC

if the ratio of corresponding sides is 2 : 1.

The sides of $Δ ABC$ are $6 c m, 8 c m$ and $10 c m .$ Find the sides of the larger triangle which is similar to $Δ ABC$ if the ratio of corresponding sides is 2.

Q. The sides of

Δ ABC

are 6 cm, 8 cm and 10 cm. Find the sides of the larger triangle which is similar to

Δ ABC

if the ratio of corresponding sides is 2.

Join BYJU'S Learning Program

The sides of ΔABC are AB = 6cm, BC = 8cm and CA =10cm. Find the perimeter of the larger triangle ΔXYZ which is similar to ΔABC, if the ratio of their corresponding sides is 2.

The correct option is A 48 cmGiven: Triangle ΔABC is similar to to be ΔXYZ. The ratio of corresponding sides is 2. So, XYAB=YZBC=XZAC=2 ⇒XY6=YZ8=XZ10=2 ⇒ XY = 12cm, YZ = 16cm and XZ = 20cm. The perimeter of ΔXYZ is XY + YZ + XZ = 12 + 16 + 20 = 48cm.

The sides of $Δ ABC$ are AB = 6cm, BC = 8cm and CA =10cm. Find the perimeter of the larger triangle $Δ XYZ$ which is similar to $Δ ABC$ , if the ratio of their corresponding sides is 2.