SOLUTION: the length of QR is 4 mm, the length of PR is 3.5 mm and the size of angle PQR is 60°. What are the possible size(s) of angle QPR (to 2 decimal places)?
I already got one of the a
Algebra ->
Triangles
-> SOLUTION: the length of QR is 4 mm, the length of PR is 3.5 mm and the size of angle PQR is 60°. What are the possible size(s) of angle QPR (to 2 decimal places)?
I already got one of the a
Log On
Question 985440: the length of QR is 4 mm, the length of PR is 3.5 mm and the size of angle PQR is 60°. What are the possible size(s) of angle QPR (to 2 decimal places)?
I already got one of the angles which is 81.79 degrees but whats the other one? Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website! Another description of what you have:
Triangle made of the segments QR, RP, QR.
Internal angle measure at Q is 60 degrees.
QR is 4; PR=RP=3.5.
Law Of Sines will give you measures of the interior angles at R and P. Either Law Of Sines or Law Of Cosines can be used to find measure of segment QP or PQ.
Just find one of the unknown angles using Law Of Sines, and the other unknown angle measure can be found through angle sum 180 for a triangle. As one of the alternatives, (actually the only way), . Go from there.
If what you already say you found is correct, then you simply have
R being the measure at point R, the angle.
You can put this solution on YOUR website!
the length of QR is 4 mm, the length of PR is 3.5 mm and the size of angle PQR is 60°. What are the possible size(s) of angle QPR (to 2 decimal places)?
I already got one of the angles which is 81.79 degrees but whats the other one?
Other possible measure of angle QPR:
Therefore, the possible measures of angle QPR are:
Thus, the triangle's possible angle measurements are:, OR
(