Question

The area of a triangle is 150cm², the sides are of ratio 3:4:5. Find the perimeter of the triangle.​

Answer 1

Answer:

➢Given :

• Area of a triangle = 150 cm².

• Ratio of its sides = 3 : 4 : 5.

➢To find :

• Find the perimeter of the triangle.

➢Solution :

• Let the first side be 3x.

• Let the second side be 4x

• Let the third side be 5x.

➡Here, all sides are different... So it is a scalene triangle.

• Semi - perimeter = 3x + 4x + 5x / 2

• Semi - perimeter = 6x.

• We know that,

[Refer to the 1sr Attachment ⬆]

➢According to the question :

• Area = 150 sq.cm.

[Refer to the 2nd Attachment⬆]

➡Therefore,

• Perimeter = a + b + c

• Perimeter = ( 15 + 20 + 25 ) cm.

• Perimeter = 60 cm.

➢Answer :

• So the perimeter of the triangle = 60 cm.

Hope it helps

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