Terrific Triangles!!!

Level pending

Triangle ABC is a scalene triangle with side AB = 4 cm, AC = 3 cm, and CB = 6 cm. Find the measure of angle C, which is the included angle between sides AC and CB. Round the answer to the nearest degree.

19 55 36 72

Jennifer Lin by Jennifer Lin , 23, USA

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2 solutions

Hannah DeMesa
Mar 19, 2014

Cos C = (b² + a² - c²)/2ab

= (9 + 36 - 16)/2(6)(3)

= (29/36)Cos-1

= 36.34

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Nitesh Tomar
Dec 19, 2013

first find angle a and angle b by taking ratios of the opposite sides from 180(by angle sum property) then add angle a and angle b and subtract them from 180 and you will get the measure of angle c(like i found angle c to be 36.345).

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u can use formula to find cosine of a angle i.e. cos C = ( A C ) 2 + ( B C ) 2 − ( A B ) 2 / 2 × ( A C ) × ( B C ) (AC)^{2}+(BC)^{2}-(AB)^{2} / 2 \times (AC) \times (BC) cos C = 29/36 C = acos(29/36) = 0.634183841 radian or 36.3360575 degree

Nitesh Tomar - 7 years, 5 months ago

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