Triangle Properties and Formulas

This video tutorial on Sidney's Primary Math channel covers the perimeter and area of triangles, including their properties, such as sides, vertices, base, altitude, and medians. It explains how to calculate the perimeter by summing the lengths of the sides and the area using the base and height or Heron's formula when the height is unknown. The video also discusses the orthocenter and centroid of triangles. Viewers are encouraged to subscribe for more content.

What is a triangle composed of?

• Four line segments

• Five line segments

• Two line segments

• Three line segments

Which side of a triangle is typically referred to as the base?

• The longest side

• The side drawn at the bottom

• The side opposite the largest angle

• The side with the smallest length

What is the orthocenter of a triangle?

• The point where perpendicular bisectors intersect

• The point where medians intersect

• The point where altitudes intersect

• The point where angle bisectors intersect

What is a median in a triangle?

• A line segment from a vertex to the opposite side's centroid

• A line segment from a vertex to the opposite side's orthocenter

• A line segment from a vertex to the opposite side's endpoint

• A line segment from a vertex to the opposite side's midpoint

Where is the centroid of a triangle located?

• Always inside the triangle

• Always on the base

• Always outside the triangle

• Always on the hypotenuse

How is the perimeter of a triangle calculated?

• By dividing the lengths of its sides

• By subtracting the lengths of its sides

• By adding the lengths of its sides

• By multiplying the lengths of its sides

What is the formula for the area of a triangle when the base and height are known?

• Base times height

• Base plus height

• Half of base times height

• Base minus height

What is Heron's formula used for?

• Calculating the area of a triangle when the height is unknown

• Calculating the orthocenter of a triangle

• Calculating the perimeter of a triangle

• Calculating the centroid of a triangle

What does the semi-perimeter of a triangle represent?

• Half of the height of the triangle

• Half of the base of the triangle

• Half of the perimeter of the triangle

• Half of the area of the triangle

Which of the following is a correct expression for the semi-perimeter of a triangle?

• a + b + c

• (a * b * c) / 2

• (a + b + c) / 2

• a * b * c