Question

find area of triangle sides are 14m,20m,18m by herons formula
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Answer 1

Answer:

Area of triangle is 122.376 m².

Step-by-step explanation:

Given :-

Sides of triangle are 14 m, 20 m and 18 m.

To find :-

Area of triangle.

Solution :-

We know Heron's formula is :

Area of triangle = √s(s - a)(s - b)(s - c)

Where,

a, b and c are sides of triangle.

s is semi-perimeter of triangle.

So,

Semi-Perimeter = Perimeter/2

→ Semi-perimeter = 14 + 20 + 18/2

→ Semi-perimeter = 53/2

→ Semi-perimeter = 26

Semi-perimeter of triangle is 26 m.

Now,

⟶ Area = √26 × (26 - 14)(26 - 20)(26 - 18)

⟶ Area = √26 × 12 × 6 × 8

⟶ Area = √2 × 13 × 2 × 2 × 3 × 2 × 3 × 2 × 2 × 2

⟶ Area = 2 × 2 × 2 × 3 × √13 × 2

⟶ Area = 24 × √26

⟶ Area = 24 × 5.099

⟶ Area = 122.376

Therefore,

Area of triangle is 122.376 m².

Answer 2

Answer:

• Area of triangle is 122.376 m².

Step-by-step explanation:

Given :-

• Sides of triangle are 14 m, 20 m and 18 m.

To find :-

• Area of triangle.

Solution :-

We know Heron's formula is :

Area of triangle = √s(s - a)(s - b)(s - c)

Where,

• a, b and c are sides of triangle.
• s is semi-perimeter of triangle.

So,

• Semi-Perimeter = Perimeter/2
• Semi-perimeter = 14 + 20 + 18/2
• Semi-perimeter = 53/2
• Semi-perimeter = 26
• Semi-perimeter of triangle is 26 m.

Now,

• Area = √26 × (26 - 14)(26 - 20)(26 - 18)
• Area = √26 × 12 × 6 × 8
• Area = √2 × 13 × 2 × 2 × 3 × 2 × 3 × 2 × 2 × 2
• Area = 2 × 2 × 2 × 3 × √13 × 2
• Area = 24 × √26
• Area = 24 × 5.099
• Area = 122.376

Therefore,

Area of triangle is 122.376 m².

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