Question

The Sides of a triangle are in the ratio 2: 5: 6: and its perimeter is 52cm. Find the length of the longest side of the triangle

Answer 1

Answer:

24 cm

Step-by-step explanation:

Given, ratio of side-lengths is 2 : 5 : 6.

 Let the sides are 2a , 5a, and 6a.

Clearly, 6a is the length of the longest side.

 

Here,

  Perimeter = 52 cm

⇒ sum of all sides = 52  cm

⇒ 2a + 5a + 6a = 52 cm

⇒ 13a = 52 cm

⇒ a = ( 52 / 13 ) cm

⇒ a = 4 cm

  Here longest side is 6a as said above, thus,

       Length of the longest side is 6a  

          ⇒ 6( 4 cm )

          ⇒ 24 cm

Answer 2

☯️ANSWER☯️

_______________________________________________

Let the sides of the triangle be 2x, 5x and 6x respectively.

Given perimeter =52 m.

As perimeter of triangle = sum of all the sides.

Then,

52 = 2x+5x+6x

52 = 13x

4 = x.

Then putting the value of x, we get the sides as

2x=2×4=8cm.

5x=5×4=20cm.

6x=6×4=24cm.

So, from here it is concluded that the length of its longest side is 24 cm.

___________________________________________________

$Be \: brainly$