In ∆ABC, XY is parallel to BC and it divides ∆ABC into two parts …

WebNow, CF is parallel to AB and the transversal is BF. So we get angle ABF = angle BFC ( alternate interior angles are equal). But we already know angle ABD i.e. same as angle ABF = angle CBD which means angle BFC = angle CBD. Therefore triangle BCF is isosceles while triangle ABC is not. Hope this helps you and clears your confusion! Best wishes!! Web10. Incircle of triangle ABC touches AB, AC at P, Q. BI, CI intersect with P Q at K, L. Prove that circumcircle of ILK is tangent to incircle of ABC if and only if AB + AC = 3BC. 2 f 11. Let M and N be two points inside triangle ABC such that ∠M AB = ∠N AC and ∠M BA = ∠N BC. budget optical north miami

WebDetermine the length of XY. 6. In the diagram, triangle ABC has a right angle at B and M is the midpoint of BC. A circle is drawn using BC as its diameter. P is the point of intersection of the circle with AC. The tangent to the circle at P cuts AB at Q. Prove that QM is parallel to AC. 7. In the diagram, AB and BC are chords of the circle with ... WebIn triangle ABC, right angled at B, Find the expressions of cos A , sin C, tan A and cot C. Q. In triangle ABC, M is mid-point of AB and a straight line through M and parallel to BC … WebApr 30, 2024 · 2. The corresponding sides of the compared triangles must be in proportion to each other. For example, if we are comparing A B C with X Y Z, then both of these triangles will be called similar if: 1. ∠ A = ∠ X , ∠ B = ∠ Y and ∠ C = ∠ Z. 2. A B X Y = B C Y Z = C A Z X. Consider this X Y Z. If we draw a parallel line C D to the Y Z ... budget optical temple tx