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3 years ago

Two sides of a triangle have lengths of 20 inches and 34 inches. Which could be the length of the third side?

Mathematics

1 answer:

Bogdan [553]3 years ago

7 0

The sum of the lengths of any two sides of a triangle must be greater than to the length of the third side.

4 + 20 = 24 < 34 NOT

20 + 34 = 54 < 60 NOT

14 + 20 = 34 NOT

20 + 27 =47 > 34

20 + 34 = 54 > 27

27 + 30 = 57 > 20

CORRECT

Answer: D. 27 inches

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So we want to find the surface area of this pyramid. Finding the surface area of a 3D shape is essentially finding the area of all its sides and adding them together.

What we're going to have to do here is find the area of the base of the pyramid, which is basically a square, and find the area of all four sides of the pyramid, which are triangles.

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For this case what we must do is use the law of cosines.
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$c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (x)
$
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Clearing the value of c we have:
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