The area of triangle PQR is 18. If p = 6 and q = 8, find all possible measures of angle R?

1 Answer
May 17, 2018

#color(crimson)(hat R = 48.59^@# or #color(crimson)( = 131.49^@#

Explanation:

#p = 6, q = 8, Area = 18#

To find #hat R#

# Area = (1/2) p q sin R#

(1/2) * 6 * 8 * sin R = 18#

#sin R = (2 * 18) / (6 * 8)#

#sin R = 0.75#

#hat R = sin ^-1 0.75#

#hat R = 48.59^@# or #180 - 48.59 = 131.49^@#