2 [ 32 - (4-1) to the third power ]
2 answers:
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Answer: x=52.6°
Step-by-step explanation:
To find the value of x, we have to use our SOHCAHTOA. We can eliminate sine and cosine because both uses hypotenuse, which is not labelled. Therefore, we use tangent.
To find x, we want to use inverse tangent.
[plug into calculator]
Now, we know that x=52.6°.
First we'll show this is a right triangle by the Pythagorean Theorem:
Since we have a right triangle, by the (converse to the) Pythagorean Theorem. We also see it's isosceles, AB=AC.
That's the end of the homework but I'll go on a bit.
Another way to show perpendicularity, essentially the same as the other two, is by a zero as the dot product of the sides as vectors, differences between vertices.
Vector AB = B - A = (3,2)
Vector AC = C - A = (-2, 3)
AB · AC = 3(-2) + 2(3) = 0
A zero dot product means
AB ⊥ AC