2.If the sides of a triangle are 20cm,24cm and 28cm,find its area *
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By using Heron's Formula,
Now,
Therefore, area of triangle is 235.1cm².
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Heron's formula calculate the area of a triangle with given length of each side. If the length of 3 sides is known, then we can find the area of a triangle through Heron's Formula.
If we're having base and height of triangle, then we can use: 1/2×base×height identity to find its area.
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Given ,
- The measures of sides of triangle are 20 cm , 24 cm and 28 cm
We know that ,
The semi perimeter of triangle is given by
Semi perimeter (s) = (a + b + c)/2
Thus ,
s = (20 + 24 + 28)/2
s = 72/2
s = 36 cm
Now , the area of triangle is given by
Thus ,
Area = √{36(36-20)(36-24)(36-28)}
Area = √{36 × 16 × 12 × 8}
Area = √36 × √16 × √96
Area = 6 × 4 × 2.44
Area = 96 × 2.44
Area = 234.4 cm² (approx)
Therefore ,
- Thee area of triangle is 234 cm²
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