Given: △PQR, area of △PQR = 50, m∠Q = 90°, and m∠P = 36° Find: PR

Answer 1

area = 50 = half base times height

36 - 54 - 90 right triangle has sides in a ratio of about 1.378 = sin54/sin36

b(1.378)b/2 = 50

1.378b^2 = 25

b = 5/sqr1.378 = about 4.26

h = 1.378(4.26) = about 5.87

5.87 x 4.26 = about 25

PR looks like the hypotenuse

hypotenuse squared = 4.26^2 + 5.87^2 = 18.15 + 34.46 = 52.61

hypotenuse = sqr52.61 = about 7.25