SOLUTION: the area of triangle PQR is 30. If q=10 and r=8, find all possible measures of angle P?

Question 606299: the area of triangle PQR is 30. If q=10 and r=8, find all possible measures of angle P?
Answer by vksarvepalli(154) (Show Source): You can put this solution on YOUR website!
The area of a triangle ABC with sides a,b,c is given by the formula,
Area= 1/2*a*b*SinC = 1/2*b*c*SinA = 1/2*a*c*SinB
so here we have , 1/2*10*8*SinP = 30
=> 40 SinP = 30
=> SinP = 3/4
=> P =

So P = 48.59 degrees (approx)
RELATED QUESTIONS
The area of triangle PQR is 24. If p = 6, and q = 8, find the possible measures of angle... (answered by user_dude2008)

The area of triangle PQR is 18. If p = 6 and q = 8, find all possible measures of angle... (answered by jim_thompson5910)

The area of triangle PQR is 18. If p = 6 and q = 8, find all possible measures of angle... (answered by ikleyn)

The area of ΔPQR is 18. If p = 6 and q = 8, find all of the possible measures of... (answered by ikleyn)

In triangle PQR, the measure of angle Q is three times the measure of angle P. The... (answered by rfer)

The coordinates of the vertices of ∆PQR are P (0,5), Q (5,0), and R (10,5).... (answered by mananth)

triangle PQR, with P=(3,6), Q=(4,1), R=(14,3), find the measure of the largest angle of... (answered by Edwin McCravy)

If P(0, 5), Q(4,4) and R(3, 8) are the vertices of a triangle PQR, find the tangent of... (answered by ikleyn)

A triangle, PQR, has P(8, 0), Q(0, −8) and point R is on the line y = x − 2. Find the (answered by math_tutor2020)