Unit 16 MathematicIntersecting chord theorem Aim To understand the calculation of intersecting chord theorem and its practical application. Objectives The learner will be able to correctly complete a intersecting chord theorem calculations. The learner will be able to identify the practical use of intersecting chord theorem calculation. The learner will be to identify the different interactions of the intersecting chord theorem calculations
What is Intersecting chord theorem? Intersection point 1. The Intersecting Chords theorem asks us to consider two intersecting line segments inside of a circle. 2. Each line segment can be thought of as being divided in two parts by the point where the two line segments intersect. 3. The Intersecting Chord theorem says that when we multiply the lengths of the two parts of the first line segment together, we get the same value as when we multiply the lengths of the two parts of the other line segment together. Chord lines
What is the intersecting chord theorem calculation? AB x BC = DB x BE D 2 AB = DB x BE 2 AB = 600 x 250 600 AC =774.6 2 AB = 150000 AB = 150000 C A B AB = 387.3 250 E
What is intersecting chord theorem identifying? Intersecting chord theorem is used in fabrication to identify the distance supports would be need to be to support a cylinder or the placement of a strong back inside the cylinder.
Working Example Find the length of BC? D AB x BC = DB x BE 564 671 x BC = 564 x 200 C 188 ? 600 x BC = 112800 B 600 112800÷ 600 = 188 A 200 E BC =188