SOLUTION: A triangle field ABC is such that AB=90 m, BC=70 m & AC=85 m. Make a scale drawing of it, using a scale of 1 cm to 10 m. From your scale drawing, find (a) the actual distance fro

Question 1090577: A triangle field ABC is such that AB=90 m, BC=70 m & AC=85 m. Make a scale drawing of it, using a scale of 1 cm to 10 m. From your scale drawing, find
(a) the actual distance from A to the midpoint of BC and,
(b) the actual distance from B to the midpoint of AC.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Not sure how you get actual distances from a scale drawing.
You can get an estimate of the distances.
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I'm solving it algebraically.
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So let's set up a coordinate system with (0,0) at A.
So then B is (90,0).
Angle A is 47.1.
Angle B is 62.7.
Angle C is 70.2.
So then the coordinates of C is
C:(,)
C:(,)
The midpoint of AC would then be half of those values.
=(,)
So then using the distance formula.

Solve for .
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The midpoint of BC is calculated using the points B and C.
It's the average of the x and y values.

=(,)
Again use the distance formula,

Solve for .
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