Mathematics
Grade 3
15 min
Scalene, isosceles, and equilateral triangles
Scalene, isosceles, and equilateral triangles
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify a triangle as a shape with three straight sides.
Define equilateral, isosceles, and scalene triangles based on their side lengths.
Classify a triangle when given its side lengths.
Sort pictures of triangles into three groups: equilateral, isosceles, and scalene.
Use a ruler to measure the sides of a triangle and determine its type.
Draw an example of each type of triangle.
Have you ever noticed that a slice of pizza, a Dorito chip, and a yield sign are all triangles, but they look different? 🍕 Let's find out why!
Today, we are going to learn the special names for triangles. We will learn how to classify them into three groups based on the lengths of their sides. This helps us describe shapes much better, just like a scientist!
Real-World...
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Key Concepts & Vocabulary
TermDefinitionExample
TriangleA flat shape with 3 straight sides and 3 corners (or vertices).A slice of pizza is a triangle.
SideOne of the straight lines that makes up the outside of a shape.A triangle has 3 sides.
Equal SidesSides that are the exact same length. You can measure them with a ruler to check.If one side is 5 inches long and another side is 5 inches long, they are equal sides.
Equilateral TriangleA triangle where all three sides are equal in length.A triangle with sides measuring 4 cm, 4 cm, and 4 cm.
Isosceles TriangleA triangle where exactly two sides are equal in length.A triangle with sides measuring 6 inches, 6 inches, and 4 inches.
Scalene TriangleA triangle where none of the sides are equal in length. All three sides are different lengths.A triangle with sides measuri...
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Core Formulas
Equilateral Triangle Rule
Side 1 = Side 2 = Side 3
Use this rule when you measure a triangle and find that all three sides are the exact same length.
Isosceles Triangle Rule
Two sides are equal
Use this rule when you find that exactly two of the triangle's sides are the same length, and the third one is different.
Scalene Triangle Rule
Side 1 ≠ Side 2 ≠ Side 3
Use this rule when you measure a triangle and find that all three sides have different lengths.
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Challenging
An isosceles triangle has a perimeter of 18 cm. One of its sides is 8 cm long. Which of these is a possible set of side lengths for the triangle?
A.8 cm, 8 cm, 2 cm
B.8 cm, 6 cm, 4 cm
C.8 cm, 5 cm, 5 cm
D.Both A and C are possible
Challenging
The lesson states: 'An isosceles triangle is a triangle where exactly two sides are equal in length.' Based on this specific rule, which statement is true?
A.All equilateral triangles are also isosceles.
B.No equilateral triangles are isosceles.
C.Some equilateral triangles are isosceles.
D.All isosceles triangles are equilateral.
Challenging
A triangle that is NOT scalene has a perimeter of 12 inches. All its side lengths are whole numbers. Which of these could be its side lengths?
A.3 in, 4 in, 5 in
B.2 in, 4 in, 6 in
C.5 in, 5 in, 2 in
D.1 in, 5 in, 6 in
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