what is area of a triangle if its sides are 26,28 and 30 cm explain and tell formula
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- Area of triangle is 336 cm².
Step-by-step explanation:
Given:-
- Sides of triangle are 26 cm, 28 cm and 20 cm.
To find:-
- Area of triangle.
Solution:-
- If height is not given. So, We use heron's formula.
Heron's formula,
Area of triangle = √s(s - a)(s - b)(s - c)
In which,
- s is semi-perimeter of triangle.
- a, b and c are sides of triangle.
So,
s = Perimeter/2
s = 26 + 28 + 30/2
s = 84/2
s = 42.
Semi-perimeter of triangle = 42 cm.
Area of triangle :
= √42(42 - 26)(42 - 28)(42 - 30)
= √42 × 16 × 14 × 12
= √3×2×7×2×2×2×2×2×7×2×2×3
= 3 × 7 × 2 × 2 × 2 ×2
= 336
Therefore,
Area of triangle is 336 cm².
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