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jacobmacalpine
18.04.2020 •
Mathematics
Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the triangles that he could have drawn. *
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Ответ:
The drawn in the attached figure
see the explanation
Step-by-step explanation:
First case
In the triangle ABC
Let
Applying the law of sines
Find the measure of angle A
substitute the given values
so
Find the measure of angle C
In a right triangle
we know that
therefore
Find the length side c
Applying the law of sines
substitute the given values
therefore
The dimensions of the triangle are
Second case
In the triangle ABC
Let
Applying the law of sines
Find the measure of angle B
substitute the given values
so
using a calculator
Find the measure of angle C
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
therefore
Find the length side c
Applying the law of sines
substitute the given values
therefore
The dimensions of the triangle are
see the attached figure to better understand the problem
Ответ:
A) 50° ✔︎
Step-by-step explanation:
∠D=38°+12=50°
∠B=∠D
∠B=50°
hope it helps...
have a great day!!!