In the triangle ABC if angle A is 20 degrees, angle B is 35 degrees and the side between (side C) them is 100, what is the appro
ximate length of side a?
1 answer:
Answer:length of side a is 42
Step-by-step explanation:
The given triangle ABC is shown in the attached photo. The length of side BC is a. The length of side AC is b and the length of side AB is c = 100
The sum of the angles in a triangle is 180 degrees. Therefore.
Angle A + angle B + angle C = 180. Therefore,
20 + 35 + angle C = 180
55 + angle C = 180
Angle C = 180 - 55 = 125 degrees. To determine the length if a, we would apply the sine rule which is expressed as
a/SinA = b/SinB = c/SinC
Therefore,
a/Sin20 = 100/Sin125
aSin125 = 100sin20
a × 0.8192 = 0.342 × 100
0.8192a = 34.2
a = 34.2/0.8192
a = 41.75
Approximately 42
You might be interested in
Answer:
Step-by-step explanation:
When two variables say x and y are proportional let us assume y dependent variable and x independent variable
then we have y =kx
Here k is called the constant of proportionality.
Whenever x increases/decreases by 1 unit, the y value also increases/decreases by k units.
Whenever x=1, y =k
and always
Thus we can fill up as
the constant of proportionality is always the point___(1.k)____, where k is the constant of proportionality. Additionally, you can find the constant of proportionality by finding the ratio of___y to x____, for any point on the___graph of the function.___.