Triangle Area and Dimensions

The video tutorial explains how to find the area of a triangle with vertices at specific coordinates. The instructor visualizes the triangle on a coordinate plane and uses rectangular coordinates to simplify the problem. By calculating the area of a large rectangle encompassing the triangle and subtracting the areas of smaller triangles, the instructor derives the area of the original triangle. The process involves understanding coordinate geometry and applying basic arithmetic operations.

What are the coordinates of the vertices of the triangle?

• (-5, 1), (3, -5), (5, 2)

• (5, 1), (-3, 5), (-5, -2)

• (1, -5), (5, 3), (2, -5)

• (-1, 5), (3, 5), (2, -5)

Why is it challenging to find the area of this triangle directly?

• The triangle is too small.

• The lines are not vertical or horizontal.

• The vertices are not given.

• The triangle is not on the coordinate plane.

What is the strategy used to find the area of the triangle?

• Using a compass to draw circles.

• Using a formula for equilateral triangles.

• Using a protractor to measure angles.

• Using a rectangle and subtracting areas of smaller triangles.

How is the length of the rectangle determined?

• By guessing the length.

• By calculating the difference in x-coordinates.

• By measuring with a ruler.

• By using the Pythagorean theorem.

What is the area of the rectangle encompassing the triangle?

• 50 square units

• 60 square units

• 70 square units

• 80 square units

What is the base of the first smaller triangle?

• 10 units

• 12 units

• 8 units

• 6 units

What is the height of the first smaller triangle?

• 4 units

• 7 units

• 5 units

• 6 units

What is the area of the first smaller triangle?

• 18 square units

• 24 square units

• 20 square units

• 22 square units

What is the base of the second smaller triangle?

• 2 units

• 3 units

• 4 units

• 5 units

What is the height of the second smaller triangle?

• 8 units

• 7 units

• 6 units

• 5 units