If you know the lengths of all sides of right triangle how do you calculate the angles?

Answer 1

here
use this!
http://www.csgnetwork.com/trianglessacalc.html

Answer 2

Okay, first all since it's a right triangle, you know one angle is 90 degrees.
Now, there are 2 possibilities: 45 and 45 degrees or 30 and 60 degrees.

What are the side lengths? Think of the side along the side of the right angle as A; Think of the side along the bottom of the right angle as B. What length is A? What length is B?

If A and B are the same length, then you have a 45-45-90 triangle.
Is A > B? Then the angle opposite A > the angle opposite B.
Is A < B? Then the angle opposite A < the angle opposite B.

Either way it would be a 30-60-90 triangle.


But this isn't necessary true. It may be a 30-60-90 triangle, but to get more technical answers, use a protractor. But this answer is correct by using the kind of triangles we are taught.

Answer 3

Imagine a right angled triangle with the vertical on your right side
the hypotenuse slopes from the top of the vertical to the left and down to the end of the bottom side on your left.

The point (angle) on your left we will call A
The point (angle) at the top right we call B
The right angle on your right we will call C

The sides of the triangle we will call by small letters a, b and c

The side opposite angle A is a
opposite angle B is b
C is c

The sin of A = a divided by c

the sin of B = b divided by c

do the division and find the sin of each angle then

look up in a book of tables and find the angle or use a calculator

these two angles should total 90 degrees

you could also use Tan or cos also

which are Tan A = a divided by b
Cos A = b divided by c
this should help but you have to dothe mathematics involved cause I do not know the length of the sides of the triangle

Answer 4

The angle opposite the hypotenuse is 90 degrees.

Now, take the side opposite one of the other angles and divide its length by the hypotenuse and you have the sine of that angle; you then use either a table or an arc sine function on a calculator to find the acute angle's measure.

You can do the same thing with the other acute angle. The sum of the 2 acute angles should be 90 degrees.

Answer 5

A triangle can't have 3 ninety degree angles; it does not be a triangle yet somewhat a rectangle. Why? All 3 angles of a triangle upload as much as a hundred and eighty ranges, and ninety * 3 = 270 it fairly is larger than a hundred and eighty. i admire dr bob's answer; besides the undeniable fact that in case you draw a triangle on a sphere that is going to not be talked approximately as a triangle; a triangle is a 2-d merchandise, and that would make it 3-D.

Answer 6

Draw a triangle right angled at C
c is then the hypotenuse

Find sinB = b/c where b and c are known sides.
When sin B has been found, calculate angle B by using inverse sinB on a calculator.
C is 90degrees, angle B has been calculated so angle A can be found by adding Cand B and subtracting from 180.

Answer 7

I think it might be dependent on the lengths of the sides themselves.

For instance, I know that a 3:4:5 right triangle has the angles 30:60:90 respectively. Or a right triangle whose sides are 1:1:2 (I think...) has the angles 45:45:90 respectively.

Gosh it's been a while since I've done geometry...T_T

Answer 8

For a right triangle

sin of an angle=length of opposite side/length of hypotenuse
cos of an angle=length of adjacent side/length of hypotenuse
tan of angle =length of opposite side/length of adjacent

To do the final step in solving use your calculator and use the inverse of the sin, cos, or tan (ie sin^-1, cos^-1, tan^-1) to find the angle itself.



See the link below

Answer 9

If its a right angled triangle, you firstly know that one angle is 90degrees. To work out the other 2, you use either Sin, Cos or Tan.

To work out an angle using sin, you take the length of the opposite side, divide it by the length of the hypotenuse, and then (on your calculator,) do inverse sin (Sin^-1) of the answer.
_Opp_ = Sin
. Hyp

To work out an angle using cos, you take the length of the adjacent side, divide it by the length of the hypotenuse, and then (on your calculator,) do inverse cos (Cos^-1) of the answer.
_Adj_ = Cos
. Hyp

To work out an angle using tan, you take the length of the opposite side, divide it by the length of the adjacent, and then (on your calculator,) do inverse tan (Tan^-1) of the answer.
_Opp_ = Tan
. Adj

Answer 10

I guess you mean a right angled triangle? First of all one of the angles is obiously 90 degrees. Use trigonometry to find one of the other angles (search for trigonometry, you may actually learn it for yourself if you do that!). Now use the fact that the sum of all the angles in a triangle in 180 degrees to find the remaining angle (or trigonometry will find it too).

Answer 11

Consider right angle triangle ABC with AC as hypotenuse and AB and AC are the other sides.
Lengths of all sides are given.
Now,
Cos (L BAC) =length AB / length AC= x
thereore, L BAC = cos-1( x) = y
therefore we get L BAC
Now, L ABC = 90 degrees.....(as AC is hypotenuse)
therefore,
L BCA = 180 - 90 - y.
hence we get all angles.