A, B, C, D are four points taken on a line in that order. AB = a, BC = b, CD = c. P is a point outside this line. Measures of angles APB = BPC = CPD = θ. Prove that cos^2(θ) = (a + b)(b + c)/4ac
in any triangle ABC,the angle bisector of angle A and perpendicular bisector of BC intersect.prove that they intersect on the circumcircle of the triangle ABC
I have a simple right angle triangle. All I am given is h (the hypotenuse) and that ratio of x:y is 2:3. What is the formula to find x and y in terms of h?
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