Question

The sides of a triangle are in the ratio 4 : 5: 6 and its perimeter is 300 cm. What are the sides? *

Answer 1

$\bf\large{\underline{Question:-}}$

The sides of a triangle are in the ratio 4 : 5: 6 and its perimeter is 300 cm. What are the sides?

$\bf\large{\underline{Solution:-}}$

→ let the side of triangle are = 4x, 5x and ,6x

we know,

sum of all sides = perimeter

$\tt→ 4x+5x+6x=300\\\tt→15x=300\\\tt→x= 300/15\\\tt→x= 20cm$

so,

putting x= 20 in the given ratio

1st side = 4x=4×20 = 80

2nd side = 5x=5×20 = 100

3rd side = 6x=6×20=120

$\rule{230}2$

★ Extra knowledge

• triangle has three sides, three angle , and three vertices.
• The sum of the three interior angles of a triangle is always 180°.
• The sum of the three interior angles of a triangle is always 180°.The sum of the length of two sides of a triangle is always greater than the length of the third side.
• The sum of the three interior angles of a triangle is always 180°.The sum of the length of two sides of a triangle is always greater than the length of the third side.A triangle with vertices P, Q, and R is denoted as △PQR.

Answer 2

Given :

• The sides of a triangle are in the ratio 4 : 5: 6.

• Perimeter of the triangle = 300 cm.

To find :

• The sides =?

Step-by-step explanation :

Let, the sides of the triangle be, 4x, 5x and 6x.

It is Given that,

Perimeter of the triangle = 300 cm.

As We know that,

Sum of all sides = Perimeter.

So,

➮ 4x + 5x + 6x = 300

➮ 15x = 300

➮ x = 300/15

➮ x = 20.

Therefore, We got the value of, x = 20.

Hence,

4x = 4 × 20 = 80 cm.

5x = 5 × 20 = 100 cm.

6x = 6 × 20 = 120 cm

Verification :

Sum of all sides = Perimeter

80 + 100 + 120 = 300

300 = 300

LHS = RHS

Hence, it is verified.