Question 1

How many vertices does a triangle have?

Accepted Answer

A triangle is a closed figure bounded by three line segments. It consists of three sides, three angles, and three vertices.

Question 2

Which of the following can be the lengths of the sides of a triangle?

Accepted Answer

According to the triangle inequality property, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Checking 2 cm, 3 cm, 5 cm: 2 + 3 = 5 (not greater than 5). Checking 3 cm, 4 cm, 5 cm: 3 + 4 = 7 > 5, 4 + 5 = 9 > 3, 3 + 5 = 8 > 4. Thus, 3 cm, 4 cm,

Question 3

In a right-angled triangle, the side opposite to the right angle is called:

Accepted Answer

In a right-angled triangle, the longest side, which is opposite to the right angle (90 degrees), is called the hypotenuse.

Question 4

The sum of the angles of a triangle is:

Accepted Answer

The angle sum property of a triangle states that the total measure of the three interior angles of a triangle is always 180 degrees.

Question 5

What is the name of a triangle whose all three sides are of equal length?

Accepted Answer

A triangle having all three sides of equal length is called an equilateral triangle. In such a triangle, all three interior angles are also equal to 60° each.

The Triangle and its Properties