Why did the tennis player decide to get glasses?
2 answers:
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Answer:
2 triangles are possible.
Step-by-step explanation:
Given
a=6
b=10
A=33°
To find:
Number of triangles possible ?
Solution:
First of all, let us use the <em>sine rule</em>:
As per Sine Rule:
And let us find the angle B.
This value is in the 1st quadrant i.e. acute angle.
One more value for B is possible in the 2nd quadrant i.e. obtuse angle which is: 180 - 65.44 =
For the value of , let us find
:
Let us find side c using sine rule again:
So, one possible triangle is:
a = 6, b = 10, c = 10.89
A=33°,
A=65.44°,
C=81.56°
For the value of , let us find
:
Let us find side c using sine rule again:
So, second possible triangle is:
a = 6, b = 10, c = 5.91
A=33°,
A=114.56°,
C=32.44°
So, answer is : 2 triangles are possible.