Refer to right triangle ABC in which C = 90^{circ}. Solve each triangle. a = 4.37, c = 6.21

jernplate8 2021-02-15 Answered
Refer to right triangle ABC in which C=90. Solve each triangle.
a=4.37, c=6.21
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Expert Answer

Talisha
Answered 2021-02-16 Author has 93 answers

Data analysis
Given ABC is a right angled triangle at C.
And a=4.37 units
c=6.21 units
To solve the triangle.
The triangle is as follows,
image
Solution
Since the triangle is right angle,
sin A=opposite sidehypotenuse
=BC/AB
=a/c
=4.37/6.21
 A=arcsin (704)
  A=44.75
(Rounded to two decimals)
Sum of all angles in a triangle =180
  A +  B +  C=180
 44.75 +  B + 90=180
  B=45.25
Since the triangle is right angle,
cos A=adjacent sidehypotenuse
=AC/AB
=b/c
 b=6.21(cos 44.75)
=6.21(0.710185376)
 b=4.41 units
(Rounded to two decimals)

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