Answer :

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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