0
Find the missing angles for triangle ABC given that a equals 24 b equals 36 and c equals 19?
AFIFOREVER
Trig. Use law of cosines in degree mode.
First find alpha; the angle opposite a
a^2 = b^2 + c^2 - 2bc*cos(alpha)
24^2 = 36^2 + 19^2 - 2(36)(19)cos(alpha)
576 = 1657 - 1368cos(alpha)
subtract 1657 from both sides( order of operations )
-1088 = -1368cos(alpha)
0.7902046784 = cos(alpha)
arccos(0.7902046784) = alpha
38 degrees = alpha ( angle opposite side a )
find beta; angle opposite side b
b^2 = a^2 + c^2 - 2ac*cos(beta)
1296 = 937 - 912cos(beta)
359 = -912cos(beta)
-0.3936403509 = cos(beta)
arcos(-0.3936403509 = beta
113 degrees = beta ( angle opposite of b )
easy thing to get last angle
180 degrees - 38 degrees - 113 degrees
= 29 degrees; which is gamma; angle opposite c
alpha( angle opposite a side = 38 degrees
beta( angle opposite b side ) = 113 degrees
gamma(angle opposite c side) = 29 degrees
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
How do you find the measure of an angle in a triangle?
Add together the given angles, or the angles you already know or have been given measures for, and then subtract the added numbers from 180 and that is you answer.
How do you know what angles in a triangle are worth using algebra?
If the triangle is equilangular, then all angles are 60 degrees: 180/3 = 60 If the measures of two angles are given, you can discover the 3rd one by subtracting the sum of the two angles from 180.
What is the missing side of a right triangle that has a side of 3 inches and a side of 9 inches?
9.49 or 8.49, depending on which sides of the triangle the given values relate to.
Which is enough given information needed to solve a right triangle?
Two sides, or two angles + one side.
Which triangles angle measures 32 degrees 79 degrees and 69 degrees?
It is a scalene triangle that would have the given angles.
How do you find the missing angle of a triangle if you are given two of the angles?
180 minus two known angles = unknown angle
Given a equals 29degree's b equals 51degree's?
Assuming a plane triangle and you are referring to interior angles c equals 100 degrees
What is the area of triangle ABC with the given parts A equals 41 degrees B equals 13.1 degrees C equals 5.8 degrees when rounding to the nearest hundred?
This is not a triangle. All three angles of any triangle must always add up to 180o. The angles you gave add up to only 59.9o.
You are trying to work out missing angles about certain points of angles in a triangle?
to find missing angles you are dealing with complementry and suplementry angles. Suplementry angles add up to 180 degrees so you must subtract what given angle you have from 180 and you come up with youre missing angle. This rule also gos for complementry but the angles must add up to 90 degrees
How do you estimate missing angles?
To estimate missing angles you need to know what kind of shape it is first. If it is a triangle all the angles add up to 180 degrees and so you add up the angles you are given and take that answer away from 180 degrees. That should give you the answer. Good luck I hope you understand
What triangle has the angles 40 50 and 90 degrees?
The angles given would form a right angle triangle
The angles of a triangle that are not adjacent to a given exterior angle?
Remote interior angles
A triangle with angles that measure 103 52 and 25?
An obtuse or a scalene triangle would have angles of the given sizes
If the three angles of the triangle are given below find the value of x angle 1 equals 5x angle 2 equals 3x angle 3 equals x?
Since the internal angles of a triangle always add up to 180... 180=5x+3x+x is the same as 180=9x - therefore 180 divided by 9 equals 20. The three angles are 100, 60 and 20 degrees respectively.
How do you find out the height of a triangle if only the 3 angles are given?
It is impossible to find a triangle if only angle measures are given (all similar triangles have the same angles).
What is the measure of the angle named x?
It depends on what your measuring and the measure of the other given angles. "X" is also known as the missing angle. ex. In triangle ABC, the measure of angle A is 40 and the measure of angle B is 80 find the missing angle. answer- Angle C would be 60 because a triangle's angles add up to 180 degrees.
A triangle with angles that measure 32 79 and 69?
A scalene triangle would have angles of the given sizes.
