Triangle Area and Angle Concepts

The video tutorial explains how to calculate the area of triangles using different methods. It starts with the basic formula of base times height divided by two and progresses to using the sine function when the height is unknown. The tutorial includes examples of equilateral and isosceles triangles, demonstrating how to solve for unknown sides or angles. The video aims to build confidence in using these formulas and understanding the geometric properties of triangles.

What is the formula for calculating the area of a triangle using its base and height?

• Base plus height

• Base times height divided by two

• Base times height

• Base minus height

In the base and height formula, what must you know to use it?

• The length of the height and any side

• The length of the base and any angle

• The length of the base and the hypotenuse

• The length of the base and the perpendicular height

If a triangle has a base of 10 cm and a height of 5 cm, what is its area?

• 25 cm²

• 20 cm²

• 15 cm²

• 50 cm²

What is the alternative formula for calculating the area of a triangle when the height is unknown?

• 1/2 ab sin C

• a sin C

• 1/2 a sin C

• ab sin C

In the sine formula, what do you need to know?

• Two sides and the angle between them

• All three sides

• Two angles and one side

• The base and height

How do you calculate the area of a triangle with sides 4 cm and 7 cm and an angle of 62 degrees between them?

• 1/2 × 4 × 7

• 4 × 7 × sin(62)

• 1/2 × 4 × 7 × sin(62)

• 4 × 7

What is the area of a triangle with sides 4 cm and 7 cm and an angle of 62 degrees?

• 10.3 cm²

• 14.5 cm²

• 15.6 cm²

• 12.4 cm²

When solving for unknowns in a triangle, what is a common approach?

• Using the sine formula and known values

• Ignoring the angles

• Guessing the values

• Using only the base and height formula

In an equilateral triangle, what is the measure of each angle?

• 90 degrees

• 60 degrees

• 30 degrees

• 45 degrees

How do you solve for an unknown side in an equilateral triangle with a given area?

• Use the cosine rule

• Use the Pythagorean theorem

• Use the base and height formula

• Use the area formula and solve for the side