The area of triangle PQR is 24 square meters. Side p = 13 and side q = 10. Find ALL POSSIBLE measures of angle R. Round your answers to the nearest tenth?

1 Answer
Jim G.
Apr 24, 2018

#angleR=21.7^@" or "158.3^@#

Explanation:

#"using the "color(blue)"area (A) formula"#

#•color(white)(x)A=1/2pqsinR#

#"multiply through by 2"#

#rArrpqsinR=2A#

#"divide both sides by "pq#

#rArrsinR=(2A)/(pq)=48/(13xx10)=48/130#

#rArrangleR=sin^-1(48/130)=21.7^@" to nearest tenth"#

#•color(white)(x)sin(180-x)^@=sinx^@#

#rArrangleR=(180-21.7)^@=158.3^@#

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