Oct 25, 2013 · 11 How do I prove that a triangle with sides a, b, c, has an angle bisector (bisecting angle A) is of length: $$\frac {2 \sqrt {bcs (s-a)}} {b+c}$$ I have tried using the sine and cosine rule but …

Aug 28, 2019 · If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles. Ask Question Asked 6 years, 4 months ago Modified 3 years, 11 months ago

Jan 25, 2024 · The internal angle bisector and external angle bisector of a triangle are in Harmonic progression (H.P.). I think this is a theorem but I haven't found any proof of this theorem. I am trying …

Sep 18, 2014 · So the key to solving this problem is to know that interior angle bisectors are prepindicular to external angle bisectors. So I just draw a interior angle bisector and that will be …

Sep 10, 2021 · Draw the bisector of angle ˆA which passes O ,the intersection of two other bisectors BD = CE.As shown in figure we construct triangle A'B'C' equal to triangle ABC such that it's bisector C'E' …

Apr 24, 2019 · A(1, 3) and C(− 2 5, − 2 5) are the vertices of a triangle ABC and equation of angle bisector of ∠ABC is x + y = 2. Find equation of side BC I tried a lot to solve this question, but was …

Oct 29, 2022 · According to the angle bisector theorem, an angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to other sides of the triangle.

Aug 29, 2016 · Finding the length of an angle bisector in a (right) triangle Ask Question Asked 9 years, 4 months ago Modified 4 years, 6 months ago

May 8, 2025 · 1 Problem: In scalene triangle ABC A B C, let K K be the intersection of the angle bisector of ∠A ∠ A and the perpendicular bisector of BC B C. Prove that the points A, B, C, K A, B, C, K are …

Jul 6, 2025 · Angle bisector triangle problem - Point D lies on side BC of ABC so that AB = 6, BD = 9, CD = 3, and AC = 12... Ask Question Asked 6 months ago Modified 6 months ago