For each of the following, tell how many non-congruent triangles PQR fit the given description, and find the size of angle Q. Make a separate diagram for each case. p=3,q=5,angleP=27degrees. p=8,q=5,angleP=57degrees. p=7,q=8,angleP=70degrees. p=10,q=20,angleP=30degrees

1 answer

use the law of sines.
p/sinP = q/sinQ
if p = Q sinP then it is a right triangle
if p > Q sinP there are two triangles
if p < Q sinP there are no triangles