Question

the sides of a triangular plot are in the ratio of 3:5:7 Andand its perimeter is 300 3 metre find measure of sides​

Answer 1

Step-by-step explanation:

this is the correct answer

Answer 2

Given:

• The sides of triangular plot are in the ratio 3 : 5 : 7.
• Perimeter of triangular plot is 300m.

To Find:

• Area of triangular plot

Solution:

Let the sides be 3x, 5x and 7x cm.

According to the question:

→ Perimeter of triangle = Sum of all sides.

Here,

• Perimeter = 300m

→ 300 = 3x + 5x + 7x

→ 300 = 15x

→ x = 300/15

→ x = 20 m

Therefore,

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

Now, Area of triangle

→Area = √s (s - a) (s - b ) ( s - c)

where,

→ s = a + b + c/ 2

→ s = 60 + 100 + 140/2

→ s = 300/2

→ s = 150 m

Then,

→ √s (s - a) (s - b ) ( s - c)

→ √150 ( 150-60) ( 150-100) ( 150-140)

→ √ 150 × 90 × 50 × 10

→ 1500√3 m²

Hence,

• Area of triangle = 1500√3 m²