Master How to determine the area of an oblique triangle

The video tutorial explains how to find the area of oblique triangles without knowing the height. It begins with a review of calculating the area of right triangles and introduces the formula for oblique triangles using the sine of an angle. The tutorial provides four examples, each demonstrating the application of the formula with different triangle dimensions and angles, including acute and obtuse angles. The importance of using a calculator in degree mode is emphasized for accurate sine calculations.

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

• 1/2 * base * base

• base * height

• base + height

• 1/2 * base * height

Which of the following is true about oblique triangles?

• They cannot be solved using trigonometry.

• They always have a right angle.

• The height is always given.

• The area can be found using sine without the height.

In the formula for the area of an oblique triangle, what does the sine function represent?

• The height of the triangle

• The angle between two sides

• The length of the base

• The perimeter of the triangle

If angle B is 30 degrees, side a is 3, and side c is 6, what is the area of the triangle?

• 4.5 units squared

• 6 units squared

• 9 units squared

• 3 units squared

What is the approximate area of a triangle with sides 20 and 40, and an angle of 36 degrees?

• 200 units squared

• 235.11 units squared

• 100 units squared

• 400 units squared

How does the sine of an angle affect the area calculation in oblique triangles?

• It scales the area based on the angle.

• It doubles the area.

• It has no effect.

• It halves the area.

For a triangle with an obtuse angle of 124 degrees, sides 4 and 6, what is the area?

• 15 meters squared

• 12 meters squared

• 8 meters squared

• 9.95 meters squared