Step-by-step explanation:
Let's finish strong! Maybe we'll have some time for some fun activities!
Let's start with angle B.
Remember that the internal angle of a triangle will always equal 180.
We have a rignt angle (90), a known angle (54), and unknown B.
We can establish a simple equation to solve for B. [tex]B = 180 - 90 - 54[/tex]
33% done!
To solve for the other sides of the triangle, we'll need to use our trig functions! Boo! I know, but they are super handy! Let's see them in action.
Remember that ol' saying - some old hippy caught another hippy tripping on acid. SOH, CAH, TOA.
sin = opposite over hypotenuse, cos = adjacent over hypotenuse, tan = opposite over adjacent. [tex]tan(54) = a/23[/tex]
A little fancy calculator work and we're 66% done! whew!
If we know a and the third side as being 23, we can just use the Pythagorean theorem
[tex]c^2 = a^2 + b^2[/tex]
Done! Wow! That's feels good. Great job!