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Nitella [24]
3 years ago
11

two sides of a triangle measures 20 centimeters and 30 centimeters which of the following could be the measure of the third side

Mathematics
1 answer:
brilliants [131]3 years ago
6 0
To find the third side of a triangle (there are two answers you could get), you need to use the Pythagorean formula: a^2+b^2=c^2.  First answer, 20^2+30^2=c^2.  Solve for c.  c=36.06.  The second answer, 20^2+b^2=30^2.  Solve for b.  b=26.36.
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Answer:

  • rectangular prism: 288 ft³
  • triangular prism: 72 ft³
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Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH . . . . . the product of length, width, height

This rectangular prism has a volume of ...

  V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume

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The volume of a triangular prism is found from the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...

  A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.

Here, we have ...

  B = 1/2(6 ft)(4 ft) = 12 ft²

  V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume

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The total volume of the given geometry is the sum of the volumes of the parts:

  aquarium volume = 288 ft³ +72 ft³ = 360 ft³

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