Try this beautiful problem from AMC 10A, 2018 based on area of trapezoid. Area of Trapezoid | AMC 10A All of the triangles in the diagram below are similar to isosceles triangle ABC , in which AB = AC . Each of the 7 smallest triangles has area 1 and \(\triangle...

Try this beautiful problem from AMC 12 based on Triangle inequality problem. Problem – Triangle Inequality Real numbers a and b are chosen with 1 < a < b such that no triangle with positive area has side lengths 1,a and b or \(\frac {1}{b},\frac {1}{a}\)...

Can we Prove that …….. The length of any side of a triangle is not more than half of its perimeter Key Concepts Triangle Inequality Perimeter Geometry Check the Answer Answer: Yes we can definitely prove that by Triangle Inequality Mathematical Circles...