Question

6. The perimeter of a triangle is 300 m. If its sides are in the ratio 3:5:7. Find the area of the triangle ​

Answer 1

Answer:

= Area = 1500 √3 m²

Step-by-step explanation:

Given:-

The perimeter of a triangle is 300 m. If its sides are in the ratio 3:5:7.

Find:-

Find the area of the triangle .

As per the given request let us assume.

• Side (1) = 3x
• Side (2) = 5x
• Side (3) = 7x

We know that:-

= Sum of all sides = 300

= 3x + 5x + 7x = 300

= 20

Hence, the three semi-perimeter are:-

• 3 × 20 = 60.
• 5 × 20 = 100.
• 7 × 20 = 140.

Using formula:-

Area = √s(s - a) (s - b) (s - c)

Calculations:-

= 150 (150 - 60) (150 - 100) (150 - 140)

= 150 (90 × 50 × 10)

= 1500 √3 m²

Therefore this is the required answer.

Answer 2

Answer:

1500■3

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