The perimeter of triangle is 12cm and its sides are in the ratio 5:12:13. Find
the area of triangle.
Answers
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Step-by-step explanation:
Given,
- perimeter of triangle=12cm
- sides of triangle are in ratio 5:12:13
- 5x+12x+13x=12 cm
30x=12 cm
x=2/5
- 5x=2 cm,12x=4.8 cm,13x=5.2cm
- Area=✓[s×(s-a)×(s-b)×(s-c)],where s is the perimeter of triangle/2 and a,b,c are sides of them.
- Area=✓[12×(12-2 )×(12-4.8)×(12-5.2)]
- Area=4.8cm^2
Hence,the area of triangle is 4.8 cm sq units
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