Triangle Perimeter and Properties

The video tutorial explains how to calculate the perimeter of a triangle using the formula a + b + c, where a, b, and c are the lengths of the sides. It provides an example with equal side lengths. For right triangles, the Pythagorean theorem is used to find the unknown side, allowing for perimeter calculation even with only two known sides. The tutorial concludes with a final example of calculating the perimeter using the lengths of all sides.

What is the formula to calculate the perimeter of a triangle?

• a^2 + b^2 + c^2

• a^2 + b^2 = c^2

• a * b * c

• a + b + c

If a triangle has sides of length 5, 5, and 5, what is its perimeter?

• 10

• 25

• 15

• 20

Which theorem is used to find the unknown side of a right triangle?

• Triangle Inequality Theorem

• Pythagorean Theorem

• Sine Rule

• Cosine Rule

In a right triangle, if the known sides are 3 and 4, what is the length of the hypotenuse?

• 6

• 5

• 4

• 3

What is the perimeter of a right triangle with sides 3, 4, and 5?

• 12

• 10

• 11

• 9

If a triangle has sides of lengths 6, 8, and 10, what is its perimeter?

• 20

• 24

• 26

• 28

What is the sum of the angles in any triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

If a triangle has sides of lengths 7, 24, and 25, is it a right triangle?

• Only if the angles are equal

• Yes

• No

• Cannot be determined

Which side of a right triangle is the hypotenuse?

• The longest side

• The shortest side

• Any side

• The side opposite the smallest angle

If a triangle has sides of lengths 9, 12, and 15, what is its perimeter?

• 39

• 36

• 33

• 30