Question

The sides of a triangle are in the ratio 4 : 5 : 6 . If its perimeter is 45 cm , find the longest side of the triangle . ​

Answer 1

Answer:

the third side of length 18cm

Step-by-step explanation:

suppose the length of the sides are,

4x,5x,6x

so,

4x+5x+6x=45

or,15x=45

or,x=3

so, the sides are,

4×3=12cm

5×3=15cm

6×3=18cm

Answer 2

Answer:

The measures are 12cm, 15cm and 18cm respectively.

Step-by-step explanation:

Let the ratio be x

First side = 4x

Second side = 5x

Third side = 6x

Given perimeter = 45cm

Hence,

Perimeter of a triangle = Sum of all sides

Therefore,

45 = 4x + 5x + 6x

45 = 15x

15x = 45

x = 45/15

x = 3

Hence,

First side = 4x = 4 × 3 = 12cm

Second side = 5x = 5 × 3 = 15cm

Third side = 6x = 6 × 3 = 18cm

Hence the longest side measures 18cm

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