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4 votes
Can someone help please?

Triangle not drawn to scale
Given: m&A= 62°,m&C=28°,c=24cm. Then a
_?__cm to the nearest hundredth.

Can someone help please? Triangle not drawn to scale Given: m&A= 62°,m&C=28°,c-example-1
User Shatara
by
5.3k points

1 Answer

6 votes

Answer:

a = 45.14

Explanation:

First we need to determine whether this is a non-right triangle or a right triangle.

Since we have two angles already, we can determine whether the third angle is a right or non-right angle:

The sum of all the angles in a triangle will always add up to 180, so we have

180 - (62 + 28) = 180 - 90 = 90

Since we have a right triangle and only one side, we can use trigonometry to find the measure of a.

If we use ∠A as the reference angle, side a is our opposite angle and side c is our adjacent angle.

This means we must use tangent as
tan=(opposite)/(adjacent):


tan (62)=(a)/(24)\\ 24*tan(62)=a\\45.137=45.14 = a

User Kevin Jalbert
by
5.0k points
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