In triangle , , and . If can be expressed as an irreducible ratio , where and are positive integers, what is the value of ?
Let be a triangle and let , and be the lengths of the sides opposite to the vertices , and , respectively. If and , the ratio can be expressed as , where , and are coprime positive integers. What is the value of ?
In a convex quadrilateral we are given the following three angles and side length: What is the measure of the diagonal
Alice and Bob start walking at the same time from the same spot towards their respective directions, forming a angle. Their speeds are m and m per second, respectively. If the distance between them seconds after the start can be expressed as , where is prime number, what is ?
In triangle , , , and is a point on side such that and . The length of side can be expressed as . What is the value of ?