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Marina86 [1]
2 years ago
12

Find the surface area of the triangular prism.

Mathematics
2 answers:
dsp732 years ago
6 0

Answer:

The surface area is:

120 {cm}^{2}

Step-by-step explanation:

There are two triangles, and three rectangles in this prism. The area of a triangle is:

\frac{1}{2} base \times height

and the area of a rectangle is:

length \times width

Therefore the area of the triangle is:

\frac{1}{2} (5) \times 12 \\ 2.5 \times 12 = 30 \\ 30 \times 2 = 60

This value is multiplied by 2 because there are 2 triangles.

The area of the slanted rectangle is (13 x 2 = 26), the area of the standing rectangle is (12 x 2 = 24), and the area of the base rectangle is (5 x 2 = 10).

Therefore the surface area of the triangular prism is; 60 + 26 + 24 + 10 =

120 {cm}^{2}

Julli [10]2 years ago
4 0

Answer:

Step-by-step explanation:

Surface area formula

= bh + L(s1,s2,s3)

= 5(12) + 2(12+13 +5)

= 120

Therefore the surface are is 120cm

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Answer:

• c = √89 ≈ 9.434

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By the law of cosines, ...

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Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.

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sin(A) = a/c·sin(C) = a/c = 8/√89

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Answer:

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Step-by-step explanation:

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