Use the Law of Cosines to solve the triangles. Round

Lloyd Allen

Lloyd Allen

Answered question

2021-11-26

Use the Law of Cosines to solve the triangles. Round lengths to the nearest tenth and angle measures to the nearest degree. PLEASE solve both of these triangles. Thank you!

Answer & Explanation

Ched1950

Ched1950

Beginner2021-11-27Added 21 answers

using Cosine rule, cosA=b2+c2a22bc
cos(22)=(6)2+(15)2a22(6)(15)
09272=36+225a2180
166.893=261a2
a2=94.1069
a=9.7009
a10
using Sine rule, sinAa=sinBb
sin(22)10=sinB6
sinB=6sin(22)10
B13°
using angle sum property of a triangle,
C=180(A+B)
=180(22+13)
=145
Therefore, a=10,B=13,C=145

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