The study is called trigonometry.
If you have the lengths of all three sides than ÐA = cos-1[(b2 + c2 - a2)/2bc] where a, b and c are the lengths of the sides and A is the angle opposite side a.
Insufficient information. Is it a right triangle? And if so, which sides are the 7 and 3?
Divide the shorter leg by the longer, then look it up on the tangent table in any trigonometry text. This will give you the size of the smallest angle.
That really depends what else you know about the triangle. For example, if you only know the lengths of two sides, you simply don't have enough information.
One way to find a missing side length of a triangle is to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²). If you know the lengths of two sides, you can rearrange the formula to solve for the missing side. For example, if you have the lengths of the two legs (a and b), you can find the hypotenuse (c) by calculating c = √(a² + b²).
3 hight
If you have the lengths of all three sides than ÐA = cos-1[(b2 + c2 - a2)/2bc] where a, b and c are the lengths of the sides and A is the angle opposite side a.
There is no standard formula. The answer will depend on the compound shape and also on which of the lengths (or angles) are known.
It is the same length as the corresponding side on the other triangle.
It involves a right triangle. If a length is missing in a right triangle, you can find it out by using the other two lengths.
Insufficient information. Is it a right triangle? And if so, which sides are the 7 and 3?
The missing angle measure is 100 degrees.
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.
Divide the shorter leg by the longer, then look it up on the tangent table in any trigonometry text. This will give you the size of the smallest angle.
That really depends what else you know about the triangle. For example, if you only know the lengths of two sides, you simply don't have enough information.
It made finding the missing side of a right triangle easier
One way to find a missing side length of a triangle is to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²). If you know the lengths of two sides, you can rearrange the formula to solve for the missing side. For example, if you have the lengths of the two legs (a and b), you can find the hypotenuse (c) by calculating c = √(a² + b²).