Te answer will depend on what information is given. There are all sorts of trigonometric methods but they all need some information - not a list of what is not known!
Providing it's a right angle triangle the formula is: hypotenuse2-base2 = height2
It is: perimeter minus hypotenus+base = height Area = 0.5*base*height
Use trigonometry if another angle is given. Use Pythagoras' theorem if the hypotenuse is given. Multiply the area by 2 and divide it by its height if the area is given. Or simply measure it.
If it's a right angle triangle and an acute angle plus the length of a leg is given then use trigonometry to find the hypotenuse.
No dimensions have been given but to find the hypotenuse of a right angle triangle use Pythagoras' theorem.
One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).
Given the hypotenuse and the base ...-- divide the (base) by the (hypotenuse); get a number less than '1'.-- the number is the 'cosine' of the elevation angle.-- either take the cos-1 of the number on a calculator, which is the angleOR-- look up the number in a table of cosines and see what angle it represents.
the hypotenuse is the exterior angle
Dependent on what side you are given you would use Sin(Θ) = Opposite/Hypotenuse just rearrange the formula to Hypotenuse = Opposite/Sin(Θ). Or if you are given the adjacent side use Cosine(Θ)=Adjacent/Hypotenuse, then: Hypotenuse = Adjacent/Cosine(Θ)
opposite/hypotenuse = sin(x) adjacent/hypotenuse = cos(x) opposite/adjacent = tan(x) where 'x' is the angle in question.
I'm not sure what you are asking, so I may not be answering your question, but I'll try to the best of my ability.This is only for RIGHT TRIANGLESGiven a right triangle and the angle measurements besides the 90 degree angle of the right angle are 30 and 60 degrees (the combined angle measurements of a triangle always equal 180 degrees), the base is x, the height is xsqrt3, and the hypotenuse (or the longest side opposite the height) is 2x. This shortcut only works for right triangles with the other angle measurements 30 and 60 degrees.For example, you are given a triangle with the base=2 units. Using the shortcut, the height=2sqrt3 units. Then the hypotenuse=4 units.Given a right triangle and the angle measurements besides the 90 degree angle of the right angle are 45 and 45 degrees, the base is x, the height is also x, and the hypotenuse is xsqrt2. This shortcut only works for right triangles with both the other angle measurements equal to 45 degrees.For example, you are given a triangle with the base=2 units. The height is also 2 units. And finally, the hypotenuse=2sqrt2 units.*Another way to find the other side beside the shortcut is by using the Pythagorean Theorum (a2+b2=c2) if you are given the other two side measurements.*
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