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If you know the lengths of the hypotenuse (h), and one of the sides (s), then the angle next to that side (other than the right angle), is arccos(s/h). The third angle can then be calculated from the fact that all three sum to 2pi radians (180 degrees).

If the lengths of the two legs of the triangle are x and y then the angle opposite the side measuring x is arctan(x/y). And again, the third angle can then be calculated from the fact that all three sum to 2pi radians.

On most pocket calculators the arc functions are the same buttons as the normal trigonometric functions but you will need to press "shift" (or something) first.

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Q: How do you work out an angle of a right angled triangle with no other angles and only 2 sides?
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Related questions

How many angles does a right triangle have?

A right triangle has only one right angle (a 90 degree angle), by definition. The sum of the other two angles equals 90 degrees, so the sum of all three angles is 180 degrees. Every triangle, right triangle or not, has three angles whose sum is 180 degrees.A right angle triangle has only 1 right angle which measures 90 degrees


In a right-angled triangle besides the right - angle one of the angles measures 30 degrees what does the other angle measures?

60 degrees. There are 180 degrees in a triangle.


The acute angles of a right triangle are?

In a right angled triangle the two other angles are acute.


What are the acute angles of a right triangle?

In a right angled triangle the two other angles are acute.


If a right triangle has an angle of 42 degrees then what are the other three angles?

Assuming you mean a right angled triangle, I'm pretty sure its 48 degrees.


Which polygon is a right-angled triangle?

its just called a right triangle. one angle is 90 degrees and two other angles are 1-89 degrees.


Are the two acute angles of a right triangle complementary?

Yes. Compementary angles total 90 degrees. In a right angled triangle the right angle uses 90 of the 180 degrees in a triangle, leaving 90 degrees for the other two angles.


A right triangle has 28 degrees angle what are the measures of the other angles?

The sum of the internal angles of a triangle is 180 degrees. Since you know this is a right-angled triangle, you know that one side is 90 degrees. If the other angle is 28 degrees, then you know that the remaining angle must be 180 - 90 - 28 = 62 degrees.


Is a right angled triangle always an acute triangle?

All triangles have a total internal angle of 180 degrees. This means that all the internal angles summed will equate to 180 degrees. A right angled triangle contains one corner with 90 degrees, the right angle. This means that there is only (180-90), or 90 degrees left between the two remaining corners. An acute angle is one that is less than 90 degrees. The other two angles must always be less than 90 degrees, otherwise it would no longer be a triangle. This means that the other two angles of a right angled triangle will always be acute.


Can a right triangle have two angels that measure 38 and 54?

No. Why? Well, a right angled triangle consists of a right angle and two other angles and the total of all the angles in the triangle is always 180.180-90=90 therefore the other two angles must add up to 90 degrees.54+38=92 so a right angled triangle cannot have those two angles. Hope this helps-ish


Is a right triangle an obtuse angle?

Certainly not, if you measure a right angled triangle the it comes to 90 degrees you only get an obtuse angle if you have OVER 90 degrees.


Can a right triangle have three acute angles and three equal sides?

No, a right angled triangle cannot have three acute angles because an acute angle is less than 90 degrees and a right angled triangle has one angle of exactly 90 degrees (which is what right angled means, equal to 90 degrees).Also, because the triangle has a right angle (of 90 degrees) it cannot have three equal sides; it can have two equal sides but the side opposite to the right angle (the hypotenuse) will always be longer than either of the other two sides.