Question

The side of triangle are in the ration 4: 5: 6 the perimeter of the triangle is 45 cm find the ratio of the triangle​

Answer 1

Correct Question

• The side of triangle are in the ration 4: 5: 6 the perimeter of the triangle is 45cm. Find the length of each side of the triangle.

⠀

Given

• Ratio of the sides of a triangle is 4:5:6.
• Perimeter of the triangle is 45cm.

⠀

To find

• Length of each side of the triangle.

⠀

Solution

• We have the ratio of all three sides of the triangle. Let the ratio be x.

⠀

$\tt\longrightarrow{First\: side = 4x}$

$\tt\longrightarrow{Second\: side = 5x}$

$\tt\longrightarrow{Third\: side = 6x}$

⠀

We know that, perimeter of the triangle is sum of all sides of the triangle.

⠀

According to the question

⠀

$\tt\longmapsto{4x + 5x + 6x = 45}$

⠀

$\tt\longmapsto{15x = 45}$

⠀

$\tt\longmapsto{x = \dfrac{45}{15}}$

⠀

$\tt\longmapsto{x = 3}$

⠀

• By putting the value of x

⠀

$\rm\longrightarrow{First\: side = 4x = 12cm}$

$\rm\longrightarrow{Second\: side = 5x = 15cm}$

$\rm\longrightarrow{Third\: side = 6x = 18cm}$

⠀

Hence,

• All three sides of the triangle are 12cm, 15cm and 18cm.