<u>coordinates of the point are (2,6) and (3,4)</u>
Answer:
Solution given:
let the given point be A(1,8) and B(4,2).
P and Q are the two points on AB such that
AP=PQ=QB=k
now
comparing AP and PB
AP=k
PB=2k
ratio of AP and PB == ratio 1:2
now
finding p
for this
For AB
now by using division formula
similarly
Q divides AB
Ratio of AQ and QB == ratio 2:1
by using division formula
Answer: Choice A. sin(A) = cos(B)
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Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
Since both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
