Subscribe to our YouTube channel for the latest videos, updates, and tips.
Geometrical Property of Altitudes
Here we will discuss about a geometrical property of altitudes.
The three altitudes of triangle are concurrent. The point at which they intersect is known as the orthocentre of the triangle.
In the adjoining figure, the three altitudes XP, YQ and ZR intersect at the orthocentre O.
In the adjoining figure ∆XYZ is a right-angled triangle. Here we see that XY ⊥ YZ, YZ ⊥ XY and YM ⊥ XZ.
Thus, the three altitudes XY, YZ and YM intersect at Y. So, Y is the orthocentre of ∆XYZ.
In an obtuse-angled ∆XYZ, the altitudes with respect to XY, YZ and ZX are ZR, XP and YQ respectively.
The altitudes when produced, meet at O. The O is the orthocentre of ∆XYZ.
We see that the orthocentre may lie within, on or outside the triangle.
From Geometrical Property of Altitudes to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Worksheet on Average | Word Problem on Average | Questions on Average
May 19, 25 02:53 PM
In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems. -
8 Times Table | Multiplication Table of 8 | Read Eight Times Table
May 18, 25 04:33 PM
In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40 -
How to Find the Average in Math? | What Does Average Mean? |Definition
May 17, 25 04:04 PM
Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities. -
Problems Based on Average | Word Problems |Calculating Arithmetic Mean
May 17, 25 03:47 PM
Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed. -
Rounding Decimals | How to Round a Decimal? | Rounding off Decimal
May 16, 25 11:13 AM
Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.