Given the position of 2 points of a triangle with the lengths of all side and angle of each side how can you find the 3rd positi
1 answer:
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Given:
.
To find:
The value of r.
Solution:
We have,
.
We know that the radius is perpendicular to the tangent at the point of tangency
AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., .
Using Pythagoras theorem, we get
On further simplification, we get
Therefore, the value of r is 9.
The measure of the exterior angle PNM will be x < 77. Then the correct option is C.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle NPO is shown.
Line ON extends through point M to form exterior angle PNM.
Angle NPO is 38 degrees.
Angle PON is 39 degrees.
Let the exterior angle PNM is x degrees and the interior angle PYO be y.
Then we have
38 + 39 + y = 180°
y = 103°
And we know that the sum of interior and exterior angle is a triangle is 180 degrees.
x + y < 180
103 + x < 180
x < 77
Then the correct option is C.
More about the triangle link is given below.
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