Right angles are always 90 degrees, (or pi/2 radians if you're into such things) so there isnt really anything to calculate.
You can check that a triangle contains a right angle by verifying it obeys pythagoras theorem,
x2 + y2 = h2 where x and y are the lengths of the two other sides and h is the length of the longest side (the hypotenuse).
If this is the case, the right angle is the one opposite that side, if not, the triangle doesn't contain a right angle.
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If you're only given the base, then you can't calculate the other leg. If you have any one of the following, then you can calculate all of the parts of the triangle: -- length of the other leg -- length of the hypotenuse -- size of either acute angle
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You can use the cosine rule to calculate the central angle.
Length will equal the volume divided by the other two numbers.
length times with times height