Triangle tangent area

In the triangle ABC, b=5 cm, c=6 cm, /BAC/ = 80° are given. Calculate the sizes of the other sides and angles, and further determine the sizes of the tangent tc and the area of the triangle.

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You need to know the following knowledge to solve this word math problem:

arithmetic

square root

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Pythagorean theorem
area of a shape
perimeter
triangle
law of cosines
law of sines
Heron's formula

goniometry and trigonometry

cosine
arccosine

Units of physical quantities

unit conversion
angle

Grade of the word problem

high school

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