Describe the types of triangles, Mathematics

Assignment Help:

Describe the Types of triangles ?

Triangles can be classified according to the lengths of the sides or the measures of the angles.

1. Naming triangles by sides

754_wquilateral triangle.png

An equilateral triangle is a triangle with three congruent sides.
An isosceles triangle is a triangle with at least two congruent sides.
A scalene triangle is a triangle with no congruent sides.

In an isosceles triangle DABC, if @ , and are called legs of the isosceles triangle,  B and  C are called base angles and  A is called the vertex angle.

2 Naming triangles by angles

1574_acute triangle.png

An acute triangle is a triangle with three acute angles.
A right triangle is a triangle with a right angle.
An obtuse triangle is a triangle with an obtuse angle.
An equiangular triangle is a triangle with three congruent angles.

2093_triangle1.png

In a right triangle, the side opposite the right angle is called the hypotenuse, the sides that form the right angle are called legs.

Exercise 5.1

Name the legs, base angles and vertex angle in DDEF. Assume that
Name the legs and hypotenuse in DGHK. Assume that mH = 90.

1769_triangle2.png

Definition 5.1

An altitude of a triangle is a segment from a vertex to a point on the opposite side (perhaps extended) and the segment is perpendicular to the opposite side.

949_triangle3.png

Note that in a right triangle two of the altitudes coincide with the legs of the right triangle. In an obtuse triangle two altitudes have feet on the extension of the sides.

Definition 5.2

A median of a triangle is a segment drawn from a vertex of a triangle to the midpoint of the opposite side.


Related Discussions:- Describe the types of triangles

What is dividing fractions, What is Dividing Fractions? If you want to ...

What is Dividing Fractions? If you want to divide two fractions, you invert the second fraction (that is, turn it upside-down) and change the division sign to a multiplication

Integers, hi i would like to ask you what is the answer for [-9]=[=5] grade...

hi i would like to ask you what is the answer for [-9]=[=5] grade 7

X and y -intercept, X-intercept  If an intercept crosses the x-axis we ...

X-intercept  If an intercept crosses the x-axis we will call it as x-intercept .  Y-intercept Similar, if an intercept crosses the y-axis we will call it as a y-inter

What is converse- inverse and contrapositive, What is Converse, Inverse, an...

What is Converse, Inverse, and Contrapositive In geometry, many declarations are written in conditional form "If ...., then....." For Example: "If two angles are right angles,

What is the value of the lesser integer, The sum of three times a greater i...

The sum of three times a greater integer and 5 times a lesser integer is 9. Three less than the greater equivalent the lesser. What is the value of the lesser integer? Let x =

Undetermined coefficients, UNDETERMINED COEFFICIENTS The way of Undeter...

UNDETERMINED COEFFICIENTS The way of Undetermined Coefficients for systems is pretty much the same to the second order differential equation case. The simple difference is as t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd