They are used to find the angle or side measurement of a right triangle. For example, if 2 sides of a right triangle have known values and an angle has a known measurement, you can find the third side by using sine, cosine or tangent.
Find the square root of one side squared plus the second side squared.
The sum of the 2 smallest sides of a triangle must be greater than the length of its longest side
a2 +b2 = c2 (c is the longest side/or hypotenuse)
Third side = sqrt(hyp2 - opp2)
They are used to find the angle or side measurement of a right triangle. For example, if 2 sides of a right triangle have known values and an angle has a known measurement, you can find the third side by using sine, cosine or tangent.
It all depends on which aspect of the triangle you are being asked to find and what values you already have. If you wish to find an angle, certain values must already be known and you can use trigonometry to find X. If you are asked to find the length of a side, Pythagoras can be used if the triangle contains a right angle. Remember, the angles inside a triangle always add up to 180 no matter what, so if you have two angles and simply wish to find the third, all you need to do is find the remaining difference.
Find the square root of one side squared plus the second side squared.
13 in
The sum of the 2 smallest sides of a triangle must be greater than the length of its longest side
One side is not enough. For a right triangle the third side can be calculated by Pythagoras' Theorem if you know the length of any two sides.
a2 +b2 = c2 (c is the longest side/or hypotenuse)
3, 2, 10, 6
Third side = sqrt(hyp2 - opp2)
The length of the third side of an equilateral triangle is the same as the lengths of both of the other two sides.
If (and only if) the length of each pair of sides is greater than the third side, then it is possible to make a triangle.
Surely you know how to find the third side of a right triangle, when you know the lengths of the other two. Find it, and then add up the lengths of the three sides to get the perimeter.