The side of triangle are in the ratio $2 : 5 : 7$ .If the shortest side measures $6$ cm. what is the perimeter of the triangle.

Open in App

Solution

Let the constant of proportionality be $x$ .
$∴$ sides are $2 x$ , $5 x$ & $7 x$

So, perimeter $= 2 x + 5 x + 7 x = 14 x$

According to question, $2 x = 6 \Rightarrow x = 3 c m$

$∴$ perimeter $= 14 \times 3 c m = 42 c m$ .

Suggest Corrections

Similar questions

The sides of a triangle are in the ratio 3:4:5. If the shortest side measures 9 cm, what is the perimeter of the triangle ?

Sides of a triangle are in the ratio of 2: 7: 6 and the length of its shortest side is 8 cm. Its perimeter is ___.

P Q R

22 c m

2 : 4 : 5

If the sides of a triangle are in the ratio 5:6:7 and its perimeter is 180 m, then find the sides of the triangle. [2 MARKS]

Join BYJU'S Learning Program