How to find height and understand the formula for area of an oblique triangle

The video tutorial explains how to calculate the area of a triangle, starting with the basics of a right triangle and its relation to a rectangle. It then delves into determining the height of a triangle using trigonometry, specifically the sine function, to find the height in oblique triangles. The tutorial concludes with various formulas for calculating the area of a triangle using different given angles and side lengths.

What is the formula for the area of a right triangle?

• One half base times height

• Base minus height

• Base times height

• Base plus height

What is the significance of the 1/2 factor in the area formula of a triangle?

• It is used to find the perimeter

• It is a constant for all shapes

• It doubles the area

• It accounts for the triangle being half of a rectangle

In a non-right triangle, what is the first step to find the height?

• Use the Pythagorean theorem

• Identify the base

• Determine the angle

• Use trigonometric functions

Why is it important to know the height of a triangle?

• To determine the type of triangle

• To calculate the perimeter

• To calculate the area

• To find the hypotenuse

How can the height of a triangle be expressed using sine?

• Height equals base times sine of angle

• Height equals base plus sine of angle

• Height equals base times cosine of angle

• Height equals base divided by sine of angle

What does the sine of an angle represent in the context of a triangle?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Hypotenuse over opposite

• Adjacent over opposite

Which formula would you use for a triangle with angle A and sides B and C?

• 1/2 b * c * sine of A

• 1/2 a * b * sine of A

• 1/2 a * c * sine of B

• 1/2 a * b * sine of C