The sides of a triangle are 24cm,18cm and 30cm.Find the area of the triangle,height of the triangle corresponding to the smallest size and the height of the triangle corresponding to the smallest size
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Step-by-step explanation:
given:
The sides of a triangle are 24cm,18cm and 30cm.Find the area of the triangle,height of the triangle corresponding to the smallest size and the height of the triangle corresponding to the smallest size
to find :
the height of the triangle corresponding to the smallest size
solution :
- p = (18+ 24 +30) + 2 = 36 cm
- area of the triangle:
- area = √p(p-a)(p-b)(p-c)
- area = √36(36 - 18)(36 - 24)(26-30)
- area = √46656
- area = 216 cm²
- length of the altitude corresponding to the smallest side:
- area = 1/2 (base) (height)
- 216 = 1/2 (18) (height)
- 216 = 9 height
- height = 216 + 9 = 24 cm
- area is 216 cm² and the corresponding height is 24 cm
Answered by
1
Answer:
72cm
Step-by-step explanation:
24+18+30=72
24
18
30
_____
_72__
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