Determine the height of a figure using the Pythagorean theorem ex 1

The video tutorial explains how to find the height of a figure using a right triangle. It begins by identifying the triangle's hypotenuse and side lengths, then explores the use of Pythagorean triples to quickly find the missing side. If the triples are not immediately recognized, the Pythagorean theorem is applied to solve for the missing side. The tutorial emphasizes the efficiency of recognizing Pythagorean triples but also validates the use of the theorem for accurate results.

What is the first step in solving for the height of a figure using a right triangle?

• Identify the hypotenuse

• Calculate the area

• Find the perimeter

• Use the sine rule

Which of the following is a Pythagorean triple?

• 3, 4, 5

• 2, 3, 4

• 6, 8, 10

• 5, 6, 7

How can Pythagorean triples be used to solve problems more quickly?

• By multiplying the triples

• By using the cosine rule

• By identifying the hypotenuse

• By calculating the area

What is the equation used in the Pythagorean theorem?

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a^2 + b^2 = c

• a + b = c^2

What is the value of y when using the Pythagorean theorem with sides 9 and 15?

• 10

• 13

• 11

• 12