Question

If anyone knows how to answer this do so please

Answer 1

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