Understanding the Area of an Oblique Triangle

The video tutorial explains how to find the area of an oblique triangle, which is any triangle that is not a right triangle. It introduces the formula for calculating the area using one-half of the product of two sides and the sine of the included angle. The tutorial provides a step-by-step example, emphasizing the importance of setting the calculator to degrees for accurate results. The final area calculation is demonstrated, resulting in an area of 18.63 square units.

What is an oblique triangle?

• A triangle with all angles acute

• A triangle with all equal sides

• A triangle with a right angle

• A triangle without a right angle

How do you find the area of a right triangle?

• Multiply the base by the height and add two

• Multiply the base by the height and divide by three

• Multiply one-half the base by the height

• Multiply the base by the height

What does the 'sine of an angle' refer to in the oblique triangle area formula?

• The length of the longest side

• The ratio of the opposite side to the hypotenuse

• The sum of all angles in the triangle

• The difference between two angles

In the formula for the area of an oblique triangle, what do 'b' and 'c' represent?

• The base and height of the triangle

• The two longest sides

• The hypotenuse and one leg

• The two sides adjacent to the angle

What is the first step in calculating the area of an oblique triangle using the given example?

• Determine the type of triangle

• Identify the angle and adjacent sides

• Find the hypotenuse

• Calculate the perimeter

Why is it important to set the calculator to degrees?

• To ensure the calculator is working

• To convert the angle to radians

• To get the correct sine value for the angle

• To simplify the calculation

What should you do if your calculator is not set to degrees?

• Use a different calculator

• Change the mode to degrees

• Change the mode to radians

• Turn off the calculator

What is the final calculated area of the triangle in the example?

• 18.63 square units

• 26 square units

• 8.63 square units

• 10 square units

What is the significance of the angle in the oblique triangle area formula?

• It is the largest angle in the triangle

• It is used to calculate the sine value

• It is always an acute angle

• It determines the type of triangle

What is the key takeaway from the tutorial on finding the area of an oblique triangle?

• Always use the base and height

• Use the sine of an angle with two adjacent sides

• Only use the formula for right triangles

• The area is always less than 10 square units