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labwork [276]
3 years ago
6

What is the volume of this prism? A. 23.9 ^3 B. 47.7 cm^3 C. 4.50 cm^3 D. 9.00 cm^3

Mathematics
1 answer:
melisa1 [442]3 years ago
8 0

Answer: A) 23.9

Step-by-step explanation:

volume of a shape means the area of its base multiplied by its height

so , the base here is a right angle triangle it's area equals 1/2*b*h = 1/2*3*6=9 m² and the prism height is 2.65.

therefore the volume is 2.65*9

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\large\bf{\underline{Given :}}

  • An isosceles triangle ABC
  • AD is a bisector of ∠‎A

__________________________________________

\large\bf{\underline{To \:prove :}}

  • BD = DC

__________________________________________

\large\bf{\underline{In \: triangle \: ABD\:and\: triangle\:ADC}}

{⟹AD = AD\:\:\:\:\:\:\:\:\:\:\:\:\:\:( common)}

{⟹∠BAD = ∠CAD\:\:\:\:\:\:\:\:\:( given : AD \:is \:bisector \:of \:∠A )}

{⟹∠ABD = ∠ACD\:\:\:\:\:\:\:\:\:( given : angles\: in \:isosceles\: trianlge )}

\large\bf{\underline{Hence}}

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__________________________________________

\large\bf{\underline{So}}

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\large\bf{\underline{Note :}}Slide to view full answer.

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