Construct a triangle $P Q R$ , whose perimeter is $22 c m$ and whose sides are in the ratio $2 : 4 : 5$ . Measure the sides of the triangle.

5, 7, 10

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

4, 8, 10

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

5, 8, 9

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

None of these

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

Open in App

Solution

The correct option is B $4, 8, 10$
Let the sides be $2 x, 4 x$ and $5 x$
Perimeter $= 22 c m$
$2 x + 4 x + 5 x = 22$
$11 x = 22$
$x = 2$
So the sides are
$2 x = 2 \times 2 = 4 c m$
$4 x = 4 \times 2 = 8 c m$
$5 x = 5 \times 2 = 10 c m$
Option $B$ is correct.

Suggest Corrections

Similar questions

Construct a triangle PQR whose perimeter is 15 cm and whose sides are in the ratio 3:4:6.

A B C

12 c m

3 : 4 : 5

Construct a triangle MNP, whose perimeter is 15 cm and whose sides are in the ratio 2:3:4.

A B C

12 c m

2 : 3 : 4

12 cm

4 cm

3 : 4 : 5.

Join BYJU'S Learning Program