Question

the sides of a triangle are in the ratio 4:5:6.The perimeter of a triangle id 45cm.Find the sides of the triangle.
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Answer 1

Answer:

let the sides of the triangle be 4a, 5a and 6a. Then,

perimeter of triangle = sum of all sides

45 = 4a + 5a + 6a

45 = 15a

3 = a

Therefore, the sides of the triangle = 4a cm = 12cm

= 5a cm = 15cm

= 6a cm = 18cm

hope this answer will help you.

Answer 2

Answer :-

• Sides are 12 cm, 15 cm and 18 cm.

Explanation :-

Given : Sides of Triangle are in ratio 4 : 5 : 6. Perimeter of Triangle is 45 cm.

To Find : Sides of Triangle.

Solution :

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

★ According to the Question,

➞ 4x + 5x + 6x = 45 cm.

➞ 9x + 6x = 45 cm.

➞ 15x = 45 cm.

➞ x = 45 ÷ 15.

➞ x = 3.

Therefore,

• 4x = 12 cm.
• 5x = 15 cm.
• 6x = 18 cm.

Verification :-

➞ 4x + 5x + 6x = 45 cm.

➞ 12 + 15 + 18 = 45 cm.

➞ 27 + 18 = 45 cm.

➞ 45 = 45 cm.

LHS = RHS.

Hence, Verified.