Given triangle ABC with side a = 12, side b = 10 and side c = 8, find the angles in minutes.?

Question

Given triangle ABC with side a = 12, side b = 10 and side c = 8, find the angles and put them in minutes.

Answer 1

To figure this out, you need to use the law of cosines. Unfortunately, this side lengths for this triangle do not form a Pythagorean triple, so ABC is not a right triangle. That's why you have to use the law of cosines. The law of cosines is as follows:

c^2 = a^2 + b^2 -2*a*b*cos(θ) where θ is the angle opposite of side c.

Here are the calculations for the angle across from side a. In this case, side a of ABC is "c" from the equation.

c^2 = a^2 + b^2 -2*a*b*cos(θ)
12^2 = 10^2 + 8^2 -2*10*8*cos(θ)
It doesn't matter which side corresponds to "a" or "b," you will get the same answer regardless of the order.
144 = 100 + 64 - 160*cos(θ)
-20 = -160*cos(θ)
1/8 = cos(θ)
θ = 82.8 degrees = 4969 minutes

Do this for all the sides (switching side b and c for "c" in the equation). Once you find θ (in degrees) with a calculator, multiply by 60, and you will convert your angle values to minutes. The answers I got are 82.8 degrees (4969') across of side a, 55.8 degrees (3346') across of side b, 41.4 degrees (2485') across of side c.

Answer 2

Hi. Well, the total will be 180 degrees. Times 60 equals the total minutes. Hint. Break the triangle into two right triangles and use your friend Pythagoras.

Answer 3

because you have already got an a interior the equation, enable ok stand for section ok= a million/2·a·b sin C ok= a million/2·18·10 sin 40 5 ok= a million/2·a hundred and eighty sin 40 5 ok= ninety sin 40 5 Now use your calculator to multiply ninety via the sin of 40 5 (type 40 5 and press the sin button on the calculator) ok(section)=sixty 3.6

Answer 4

72 and 60 and 48 degrees

4320 and 3600 and 2880 minutes