Question

Suppose we have a triangle with interior angles A, B, and C, and opposite sides of lengths a, b, and c, respectively. If a=10cm, b=10cm and c=12, solve the triangle. Round your FINAL ANSWERS to 3 decimal places.

Blank #1: Input A without units.
Blank #2: Input B without units.
Blank #3: Input C without units.
Blank #4: Input a without units.
Blank #5: Input b without units.
Blank #6: Input c without units.

Answer 1

Using the cosine rule:

144 = 200 -200cosC

C = arccos(0.28)

= 73.740 degrees (3dp)

Another application follows,

100 = 144 + 100 - 2(12)(10)cos(A)

A = arccos(0.6)

= 53.130 degrees (3 dp)

notice how a = b, this means it is an isosceles, and the third angle B is equal to A.

B = 53.130 degrees(3dp)