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Using the mathematical principles of trigonometry, you will need to know the lengths of any two of the sides of the right-angled triangle in order to calculate the other angles. The ratios of the lengths can be looked up in tables (or a scientific calculator may be used) to find the angle. The three sides of a right angled triangle have names as follows:-
Hypotenuse - the longest side of the triangle, opposite the right angle
Adjacent - the side next to the angle you wish to know
Opposite - the side opposite the angle you wish to know
The ratios are named as follows:-
Sine - ratio of length of Opposite divided by length of Hypotenuse
Cosine - ratio of length of Adjacent dived by length of Hypotenuse
Tangent - ratio of length of Opposite divided by length of Adjacent
These can be remembered by the mnemonic SOH CAH TOA
Depending on which sides have the known lengths, calculate the ratio and look up the value for the angle in the Sine, Cosine or Tangent table as applicable.
Once the value for one angle is known, the value for the other angle is 90 minus the value of the known angle.
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How do you find the measures of the angles in a right isosceles triangle?
If a triangle is an isosceles triangle as well as being a right-angled triangle, the size of the two angles (that are not right angles) are 45 degrees.
How do you find angles to a right triangle?
You cannot. The other angles of a right triangle can have any values between 0 and 90 degrees as long as the two of them sum to 90 degrees.
How do you find the hypotenuse of triangle?
If it has no right angles, it is not a right triangle and therefore you cannot name a hypotenuse of that triangle. Which implies you cannot find that side's measure.
What are the angles for a right angle?
A right angle, by definition, is 90 degrees. If you mean what are the other angles in a right triangle, you need one of the other angles in the triangle or the length of one side (not the hypotenuse) any two sides. You can then find the third side by Pythagoras, then the other two angles by simple trigonometry.
In a right triangle one of the acute angles is 50 more than the other acute angle Find the measures of the angles?
20, 70 and 90 degrees.
