Question

find the rest of the sides and degress of the triangle.
A= ?
B= ?
C= 95 degress
a= 2
b= 3
c= ?
area= ?

Answer 1

find the rest of the sides and degress of the triangle.

A= ?

B= ?

C= 95 degress

a= 2

b= 3

c= ?

area= ?

$$\begin{array}{l} c = \left(\sqrt {a ^ {2} + b ^ {2} - 2 a b c o s (c)}\right) \\ c = \sqrt {4 + 9 - 1 2 c o s (9 5 {}^ {\circ})} = 3. 7 5 \\ \end{array}$$ $$\begin{array}{l} A = \arccos \left(\frac {b ^ {2} + c ^ {2} - a ^ {2}}{2 b c}\right) \\ A = \arccos \left(\frac {9 + 1 4 - 4}{2 2 . 5}\right) = 3 2 {}^ {\circ} \\ \end{array}$$ $$B = 1 8 0 {}^ {\circ} - \left(9 5 {}^ {\circ} + 3 2 {}^ {\circ}\right) = 5 3 {}^ {\circ}$$