Question

The sides of a triangular plot are in the ratio of 3 : 5 : 7 and it's perimeter is 300m. Find it's area. ​

Answer 1

Answer:

Area is 1500√3 m².

Step-by-step explanation:

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

Perimeter = 300 m

Perimeter = sum of all the sides of triangle

• 3x + 5x + 7x = 300
• 15x = 300
• x = 300/15
• x = 20

Sides are,

• 3x = 60 m
• 5x = 100 m
• 7x = 140 m

Semi perimeter,

• $s\;=\;\frac{60\;+\;100\;+\;140}{2}$

• $s\;=\;150\;m$

Area [Heron's formula]

• √150 (150-60) (150-100) (150-140) m²
• √150 × 90 × 50 × 10 m²
• 1500√3 m²

∴ Area is 1500√3 m².

Answer 2

Hopw This Will Help You ! Friend

Answer:

Area is 1500√3 m².

Step-by-step explanation:

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

Perimeter = 300 m

Perimeter = sum of all the sides of triangle

3x + 5x + 7x = 30015x = 300x = 300/15x = 20

Sides are,

3x = 60 m5x = 100 m7x = 140 m

Semi perimeter,

$s\;=\;\frac{60\;+\;100\;+\;140}{2}s=260+100+140s\;=\;150\;ms=150m$

Area [Heron's formula]

√150 (150-60) (150-100) (150-140) m²√150 × 90 × 50 × 10 m²1500√3 m²

∴ Area is 1500√3 m².