the base of a prism is a triangle of which the side are 17,28,25m. the volume of the prism is 2100 m find its height
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Answer:
Height of Prism = 10 m
Step-by-step explanation:
The sides of Triangle are
17 , 28 , 25 m
S = (17 + 28 + 25)/2 = 70/2 = 35
Area of Triangle using Hero formuls
= √S(S-a)(s-b)(S-c)
= √35(35-17)(35-28)(35-25)
= √35 * 18 * 7 * 10
= √5 * 7 * 3 * 3 * 2 * 7 * 2 * 5
= 2 * 3 * 5 * 7
= 210
Volume of Prism = Area of Triangle * Height of Prism
=> 2100 = 210 * Height of Prism
=> height of Prism = 2100/210 = 10 m
Height of Prism = 10 m
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