Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Multilateration wikipedia , lookup
Golden ratio wikipedia , lookup
Euler angles wikipedia , lookup
History of trigonometry wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Perceived visual angle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Euclidean geometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Incircle and excircles of a triangle wikipedia , lookup
Triangle Inequalities Objectives: 1. Discover inequalities among sides and angles in triangles. Triangle Inequality Conj. The sum of the lengths of the shorter two sides of a triangle than the length of is greater ___________ the third side. Is it possible to have a triangle with the following side measures? Is it possible to have a triangle with the following side measures? Is it possible to have a triangle with the following side measures? Is it possible to have a triangle with the following side measures? Side-Angle Inequality Conj In a triangle, the longest side is opposite the angle with greatest measure, and the shortest side is opposite the angle with the least measure. List the sides in order from shortest to longest. List the angles in order from smallest to greatest measure. Definitions: If you extend one side of a triangle from the vertex, you form an exterior angle. exterior angle The angle adjacent to the exterior angle. adjacent interior angle The two angles that are nonadjacent to the exterior angle. remote interior angles Triangle Exterior Angle Conjecture: The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. What does Triangle Exterior angle Conjecture mean? mA = mB + mC mA= ? mA=120° mB= ? mB=138° mC= ? mC=83°