A=43°
B=82°
c=28
1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)
2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°
2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3
2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8
Answer: Option B) C=55°, b=33.8, a=23.3
The final answer would depend in the type of triangle we are analyzing, however here are the possible outcomes:
1.) If it was a right triangle, 36.5 would be the smaller angle.
2.) It cannot be an equilateral triangle since all angles would be 60°.
3.) In a isosceles triangle, 36.5° would be the smaller, since the others would be 72°.
4.) In an scalene triangle it cannot be determined unless we had 2 angles since in that kind of triangle all angles can be different.
5.) In an acute triangle, 36.5° would be the smaller angle.
6.) In an obtuse triangle it cannot be determined unless we had 2 angles, since it can have highly acute angles.
Answer:
c
Step-by-step explanation:
according to PEMDAS you should always do whats inside the parentheses first, then you'll multiply the parentheses by 5
Answer:
1,12 is your answer 1, 2x6-12
Step-by-step explanation:
