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