challenging isosceles and equilateral triangles worksheet pdf

CHALLENGING ISOSCELES AND EQUILATERAL TRIANGLES WORKSHEET PDF DOWNLOAD

There are six types of triangles in geometry.

When all the sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle.įAQs on Types of Triangles What are the Types of Triangles in Geometry?.

The three internal angles in a triangle always add up to 180°.

In an equilateral triangle, each of the three internal angles is 60°.

Here is a list of a few points that should be remembered while studying the types of triangles:

Acute Scalene Triangle : A triangle that has 3 unequal sides and 3 acute angles is called an acute scalene triangle.

Obtuse Scalene Triangle : A triangle with an obtuse angle with sides of different measures is called an obtuse scalene triangle.

Right Scalene Triangle : A triangle in which any one of the angles is a right angle and all the 3 sides are unequal, is called a right scalene triangle.

Acute Isosceles Triangle : A triangle in which all 3 angles are acute angles and 2 sides measure the same is called an acute isosceles triangle.Obtuse Isosceles Triangle : A triangle in which 2 sides are equal and one angle is an obtuse angle is called an obtuse isosceles triangle.So, in an isosceles right triangle, two sides and two acute angles are congruent. Isosceles Right Triangle: A triangle in which 2 sides are equal and one angle is 90° is called an isosceles right triangle.Equilateral or Equiangular Triangle : When all sides and angles of a triangle are equal, it is called an equilateral or equiangular triangle.The different types of triangles are also classified according to their sides and angles as follows:

CHALLENGING ISOSCELES AND EQUILATERAL TRIANGLES WORKSHEET PDF DOWNLOAD

Many of these problems take more than one or two steps, so look at it as a puzzle and put your pieces together!īelow you can download some free math worksheets and practice.Types of Triangle Based on Sides and Angles If you don’t remember that last step, don’t worry! You can just take two more steps and find the 3 rd angle of the bottom triangle and subtract it from 180°to find the exterior angle. We need a few pieces of the puzzle before we can find the measure of x. They ultimately want to find the measure of that exterior angle.

There’s actually at least three different ways that you can answer this problem. Find a piece at a time and put them together until you reach your answer! You have to look at these problems as “puzzles” because sometimes you need to find a part that they are not asking for in order to find the final result. Let’s see if we can put these properties to work and answer a few questions. So, in EVERY equilateral triangle, the angles are always 60°. This is because all angles in a triangle always add up to 180°and if you divide this amongst three angles, they have to each equal 60°. The angles, however, HAVE to all equal 60°. The sides can measure anything as long as they are all the same. When all angles are congruent, it is called equiangular. In an equilateral triangle, all sides are congruent AND all angles are congruent. Here are some diagrams that usually help with understanding. Since two sides are congruent, it also means that the two angles opposite those sides are congruent. Well, some of these types of triangles have special properties!Īn isosceles triangle has two sides that are congruent.

We’ve learned that you can classify triangles in different ways.

Challenging isosceles and equilateral triangles worksheet pdf