a triangle pqr has sides of lengths 27 units 36 units and 45 units. what is the measure of the angle opposite to the longest sid

A triangle PQR has sides of lengths 27 units, 36 units and 45 units. What is the measure of the angle opposite to the longest side? => 60 o..

The triangle has sides of lengths 18 units, 24 units, and 30 units. What is the measure of angle A? => 180° or 60° or 90° or 45°..

Which of the following cannot be the lengths of the sides of a 45 o - 45 o - 90 o triangle? => 2 units, 6 units, 2 2 units or 2 2 units, 2 2 units, 4 units or 2 units, 2 unit..

Definitions, postulates, reasoning, theorems Euclidean/non-Euclidean geometries Coordinate, transformational, axiomatic systems Conditional statements Properties of geometric figures Inductive/deductive reasoning Tessellations Pythagorean Theorem Coordinate systems Measurements..

With trigonometry we can find the height of a building or the width of a river without actually climbing or crossing. Certain basic definitions are necessary to further develop this subject. The ratios of two sides of a triangle are taken. There are six possible combinations. Ea..

The circular functions are functions of an angle. They are important in the study of triangles and modeling periodic phenomena, among many other applications. Trigonometric functions are commonly defined as ratios of two sides of a right triangle contai..

Inequalities - If two sides of a triangle are unequal, then the greater angle is opposite to the greater side. AB > AC If two angles of a triangle are unequal, the greater side is opposite to the greater angle..

. The distances measured in the direction of incident rays are positive and all the distances measured in the direction opposite to that of the incident rays are negative. All distances measured perpendicular to and above the principal axis are positive. Thus..

. Further, as electron would lose energy continuously, the atoms should emit electro-magnetic waves over a continuous range. But atoms emit only discrete frequency wavelengths only. From alpha ray scattering experiment, Rutherford calculated distance (r o ) of closest approach of a - particle to th..

Summary - Ray optics is also called geometrical optics as it uses the geometry of straight-line paths (rays) to explain the optical phenomena. Ray optics, infact, is the limiting case of wave optics. This means for most practical purposes, we can ignore the deviation from straight-line path as post..