Question

If the sides of a triangular plot is in ratio 3:5:7 with its perimeter 300 cms. Find area of triangular plot

Answer 1

Answer :

• Area of triangular plot is 1500√3m²

Given :

• The sides of a triangular plot is in ratio 3 : 5 : 7
• Perimeter is 300cm

To find :

• The area of triangular plot

Solution :

• Let the sides of the triangle be 3x , 5x and 7x

Given that,

• Perimeter is 300m then ,

》 3x + 5x + 7x = 300

》 15x = 300

》 x = 300/15

》x = 20m

Then ,

• Length of 1st side = 3x = 3(20) = 60m
• Length of 2nd side = 5x = 5(20) = 100m
• Length of 3rd side = 7x = 7(20) = 140m

Sides of the triangle is 60m , 100m , 140m

Given, Perimeter is 300cm then

• semi perimeter = Perimeter/2

》300/2

》 150m

Hence semi Perimeter is 150m

Now we have to find the area of triangular plot

As we know that,

• A = √s(s - a) (s - b) (s - c)

Where a is 60m , b is 100m and c is 140 and s is 150m

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

》√150 × 90 × 50 × 10 m²

》√(15 × 9 × 5) × (10)⁴

》 √15 × (3×3) × 5 (10)⁴

》 √15 × (3 × 5) × 3 × (10)⁴

》 √15 × 15 × 3 × (10)⁴

》 √(15)² × √3 × √10⁴

》 15 × √3 × (10⁴)½

》 15 × √3 × 10²

》 15 × √3 × 100

》 1500√3 m²

Hence , Area of triangular plot is 1500√3m²

Answer 2

Answer:

hi mate that is your answer

Step-by-step explanation:

area of traingular

plot is 1500√3m2