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Illusion [34]
3 years ago
12

What is the length of side c, given a = 10, b = 8, and c = 105°?

Mathematics
1 answer:
posledela3 years ago
5 0
We can calculate using cosinus method in triangle
c² = a² + b² - 2ab cos c

Plug in the number to the formula
c² = a² + b² - 2ab cos c
c² = 10² + 8² - 2(10)(8) cos 105°
c² = 100 + 64 - 160 cos 105°
c² = 164 - 160 (-0.26)
c² = 164 + 41.6
c² = 205.6
c = √205.6
c =14.34

C is 14.34 unit length
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Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

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Applying the above formula we get:

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Now, if the sides of the given regular polygon are reduced by 40%, then the new length of the sides will be:

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