Examples with solutions for Parts of a Triangle: Classify a triangle by its sides

Exercise #1

Look at the triangle below.

AB = AC

What type of triangle is it?

AAABBBCCC

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information about the triangle.
  • Step 2: Use the properties of triangles to classify the triangle based on its sides.

Now, let's work through each step:
Step 1: The problem states that AB=AC AB = AC . This means two sides of the triangle are equal.
Step 2: In triangle classification by sides, if two sides are equal, it is known as an isosceles triangle.

Therefore, the type of triangle we are dealing with here is an isosceles triangle.

The correct multiple-choice selection is: Isosceles (choice ID 2).

Answer

Isosceles

Exercise #2

Look at the triangle below.

AB = BC

What type of triangle is it?

AAACCCBBB

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the properties of triangles to classify it

Now, let's work through each step:
Step 1: The triangle is given with sides AB AB and BC BC equal in length.
Step 2: According to the properties of triangles, a triangle with at least two equal sides is classified as an isosceles triangle.
Therefore, given that AB=BC AB = BC , the triangle is an Isosceles triangle.

Therefore, the solution to the problem is Isosceles.

Answer

Isosceles

Exercise #3

Look at the triangle below.

AD is the height and median.

What type of triangle is it?

AAABBBCCCDDD

Video Solution

Answer

Isosceles

Exercise #4

Look at the triangle below.

AB = AC = BC

What type of triangle is it?

AAABBBCCC

Video Solution

Answer

Equilateral

Exercise #5

Look at the triangle below.

BD is the median.

DC = BD = AD

What type of triangle is it?

AAABBBCCCDDD

Video Solution

Answer

Rectangle