Answer:
A= 72.8
a= 10.04
c= 34.02
Step-by-step explanation:
1. To find A, remember a triangle's angles always add up to 180, and since you are given the other two angles, you can subtract them from 180 to get A.
180 - B - C = A
180 - 17.2 - 90 = 72.8
2.To find length a and c you are going to need to use sin, cos or tan
To find a
Using the tangent function:
tan(B)=a/b
a=b*tan(B)
a=32.5*tan(17.2)
a=10.04
To find c
Using the Pythagorean theorem:
[tex]c=\sqrt{a^2+b^2}[/tex]
[tex]c=\sqrt{(10.04^2)+(32.5^2)}[/tex]
[tex]c=\sqrt{1157.05}[/tex]
c=34.02