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IceJOKER [234]
3 years ago
13

Find the volume of the triangular prism.

Mathematics
1 answer:
pychu [463]3 years ago
3 0
Find the area of the triangle shaped faces. The area of a triangle is b•h/2
7•2=14/2=7
then multiply it by 4.5,

the area is 31.5 in^2
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Next, look at ΔADB.  ∠A + ∠D + ∠B = 180°, so ∠A + 90° + 30° = 180° ⇒ ∠A = 30°

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Now that we have shown that ΔADB and ΔADC are 30-60-90 triangles, we can use that formula to calculate the side lengths.

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Lastly, look at ΔBHD.  Since ∠B = 30° and ∠H = 90°, then ∠D = 60°. So, ΔBHD is also a 30-60-90 triangle.

BD = 12 cm, so HD = \frac{12}{2}cm = 6 cm

Answer: 6 cm



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