Altitude H of a Geometric Figure
Geometric Figure – Altitude Height – Definition In a geometric figure, the shortest distance between the base and its top, whether that top is an opposite vertex, an apex or another base.
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Volume of Right Circular Cone – Formula – Word Problems – Solution
Volume of Right Circular Cone In figure A is called vertex, AO is height, OC is radius, and AC is slant height of cone. The height, radius, and slant height of the cone are usually denoted by h, r and l respectively. Volume of Right Circular Cone V = 1/3𝜋r2h […]
Read More →Two triangles having the same base(or equal bases) and equal areas lie between the same parallels
Given: Two triangles △ ABC and △ ABD are on same base (or equal bases) AB, and area of △ ABC and △ ABD are equal. Proof: CD ∥ AB Construction: Draw CE and DF perpendicular to AB.So DF is the height of △ ADB, and CE is the height of △ABC. CE perpendicular to AB and DF perpendicular to AB.Since, lines perpendicular to same line […]
Read More →Two triangles on the same base (or equal bases) and between the same parallels are equal in area
Two triangles on the same base (or equal bases) and between the same parallels are equal in area. Given: △ ABC and △ PBC are two triangles on same base (or equal bases) BC and between the same parallels, BC and AP. To prove: ar △ ABC = ar △ PBC Construction: Through B, draw BD ∥ CA intersecting PA produced at D, and […]
Read More →Converse of Pythagorean Theorem – Word Problems
Converse of Pythagorean Theorem In this section we are going to see the converse of Pythagorean theorem. We know the Pythagorean theorem applies to right triangles and states that, The square of the length of the hypotenuse, equals the sum of the squares of the lengths of the other two sides. (hypotenuse)2 = (Base)2+(Perpendicular)2 […]
Read More →Bar Graph – Types of Bar Graphs
Type of Bar Graphs In this lesson, we will learn about bar graph or bar chart. We also focus on the different type of bar graphs, definition of bar graph how to create bar graphs. A graphical representation of data, in which bars show comparisons between categories of data.A […]
Read More →Area of a Triangle – Geometry – Problems with Solutions
Area of a Triangle In this lesson we will learn, how to calculate the area of a triangles with different formula’s. When given 1. The base and height of a triangle.2. Two sides and one angle.3. The length of three sides.4. An equilateral triangle. First we see about a triangle. A triangle is a simple […]
Read More →Histogram – Definition – Properties – Construction – Examples – Solutions
Histogram A histogram is from of graphical representation of grouped frequency distribution with continuous classes. In a histogram data represents like the bar graph, but it there is no gap between rectangular bars. The rectangular bars show the area of proportional to the corresponding frequency of a variable and the width of the bars represents […]
Read More →Surface Area of a Right Circular Cone -Definition – Formula – Example
Surface Area of a Right Circular Cone – Definition – Formula – Example Right Circular Cone Definition: (1) The surface area of a cone is sum of area of its base and lateral(side) surface. (2) The Lateral Surface Area of a cone is area of its […]
Read More →Parallelograms on the same base and between the same parallels are equal in area
Parallelograms on the same base and between the same parallels are equal in area. Given: Two parallelograms ABCD and EFCD, are on the same base DC and between the same parallel lines AF and DC. To prove: area (∥gm ABCD) = area (∥gm EFCD) Proof: In △ AED and △ BFC BC ∥ AD and AF is a transversal.So, ∠DAE = ∠CBF …..(1) (Corresponding angles of […]
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