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If anyone knows how to answer this do so please

If anyone knows how to answer this do so please-example-1
User Timofey
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1 Answer

1 vote

Answer:

b = 5.3

A = 48.6

B = 41.4

Explanation:

Attached is the Pics contain the Pythagoras Theorem and Trigonometric Identities.

So for our Right-Angled Triangle we have from Pythagoras Identity that


a^(2) +b^(2) =c^(2) ,, Then
b^(2) =c^(2) -a^(2) where a=6 , c=8

by substituting,


b^2=8^2-6^2=28\\ b=√(28) =2√(7)=5.3

Now to find A , we will use the Trigonometric Identities

Since
sin(A)=(Opposite)/(Hypotenuse)=(a)/(c) =(6)/(8)=(3)/(4) \\


A=sin^(-1) ((3)/(4) )=48.6\\

Since in any Triangle A+B+C=180

Then B=180-A-C=180-48.6-90=41.4

If anyone knows how to answer this do so please-example-1
If anyone knows how to answer this do so please-example-2
User Antonpp
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