two sides of an actue triangle measure 23 and 18. if area is 167 what is the measure of the angle formed by th

Question

two sides of an actue triangle measure 23 and 18. if area is 167 what is the measure of the angle formed by the given sides

GPT-5 mini · Answer

Use the area formula A = (1/2)ab sin C, where a = 23, b = 18 and A = 167.

sin C = 2A/(ab) = 2·167/(23·18) = 334/414 = 167/207 ≈ 0.806760.

C = arcsin(167/207) ≈ 53.8°.

(The other solution 180° − 53.8° ≈ 126.2° is obtuse, but the triangle is given as acute, so C ≈ 53.8°.)

two sides of an actue triangle measure 23 and 18. if area is 167 what is the measure of the angle formed by the given sides