find the area of a traingle whose sides are 50 cm, 30cm, and 40cm
Answers
Answer:
270.41
Step-by-step explanation:
Use Heron’s formula,
S = 40+30+20/2
= 90/2
= 45.
Area = root of ( s(s-a)(s-b)(s-c) ) where a,b,c are the sides
= root of (45(45-40)(45-30)(45-20)
= root of ( 45*5*15*25 )
= root of 225*325
= 15*18.02
Therefore Area ~ 270.41
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Question: Find the area of a triangle whose sides are 50 cm, 30cm, and 40cm.
Answer:
600 cm²
Step-by-step explanation:
Sides are as follows:
a= 30
b=40
c=50
Area of triangle by herons formula=√s(s-a)(s-b)(s-c)
s=Semi perimeter
s=30+40+50/2
=120/2
=60 cm
Area of triangle=√60(60-30)(60-40)(60-50)
=√60×30×20×10
=√6×10×3×10×2×10×10
=√6×3×2×(10×10)×(10×10)
=10×10√6×3×2 (∵10×10=100,√100=10)
=100√2×3×3×2
=100×2×3 (∵2×2=4,√4=2,√9=3)
=100×6
=600 cm²