Asked by Lottie

Prove that there is no triangle for
A=60 degrees,
a=4 and
b= 14


if you could show your reasoning and working that would be great. thank you so much!

Answers

Answered by Steve
draw angle A and side b.
Now, if it were a right triangle, with b the hypotenuse, side a would be the altitude, of length 14 sin60° = 12.12

So, you see, a little side a of length 4 will not reach down the the base, AB.

If C is the right angle, that means that tanA = 6/14, but that does not make A=60°.
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