Understanding Right Triangles and Area Calculation

This video tutorial explains how to find the area of a triangle by identifying it as a right triangle. The instructor demonstrates how to prove the right angle by calculating the slopes of the triangle's sides and showing they are opposite reciprocals. Once the right angle is confirmed, the base and height are identified, and the area is calculated using the formula 1/2 base times height, resulting in an area of 25 square units.

What are the given side lengths of the triangle discussed in the video?

• 3 and 4

• 7 and 9

• 5 and 10

• 6 and 8

What property of the triangle helps in simplifying the area calculation?

• It is an isosceles triangle

• It is a right triangle

• It is an equilateral triangle

• It is a scalene triangle

How can you prove that the triangle is a right triangle?

• By finding the slopes of two lines and showing they are opposite reciprocals

• By checking if the sides are equal

• By calculating the perimeter

• By measuring the angles directly

What is the slope of the first line mentioned in the video?

• 3/4

• 4/3

• 8/6

• 6/8

What is the calculated area of the triangle?

• 35 square units

• 30 square units

• 25 square units

• 20 square units