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Part of 2020 Malaysia IMONST 2
Problems(2)
Malaysia IMONST 2 Senior Problem 1
Source: Malaysia IMO national selection test 2020
10/19/2020
Given a trapezium with two parallel sides of lengths and , where , are integers, prove that it is
possible to divide the trapezium into several congruent triangles.
geometrycombinatorial geometrytilings
inradius r=1/2 (a + b - c) in right triangle (2016 Izumrud Olympiad 8-9 p5)
Source:
5/4/2021
Prove that if and are legs, is the hypotenuse of a right triangle, then the radius of a circle inscribed in this triangle can be found by the formula .
geometryinradiusright triangle