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If the three sides of a triangle are 21 cm, 20 cm and 29 cm long, what is the area of the triangle?
210 CM2
190 CM2
290 CM2
200 CM2
To find the area of a triangle with sides 21 cm, 20 cm, and 29 cm, use Heron's formula:
- Calculate the semi-perimeter (s): s=21+20+292=35.
- Use Heron’s formula for the area (A):
A=s⋅(s−a)⋅(s−b)⋅(s−c).
So,
A=35⋅(35−21)⋅(35−20)⋅(35−29).
Simplified,
A=35⋅14⋅15⋅6.
- Calculate:
A=44100, which results in 210 cm².
- 210 CM² is the correct answer.
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