How to apply the triangle proportionality theorem to determine the missing side

The video tutorial explains how to apply the triangle proportionality theorem to solve a problem involving ratios. The instructor sets up the problem, identifies the given values, and demonstrates how to use cross multiplication to find the unknown value TQ. The process is explained step-by-step, ensuring that students understand the application of the theorem and the calculation involved.

What theorem is used to establish the relationship between the segments PS, SR, PT, and TQ?

• Pythagorean Theorem

• Triangle Proportionality Theorem

• Sine Rule

• Cosine Rule

What is the first step in solving for TQ using the given ratios?

• Subtract the ratios

• Cross multiply the ratios

• Divide the ratios

• Add the ratios

What is the result of multiplying 5 by 15 in the cross multiplication process?

• 70

• 75

• 60

• 80

After cross-multiplying, what operation is performed to isolate TQ?

• Division

• Addition

• Multiplication

• Subtraction

What is the final value of TQ after solving the equation?

• 7

• 6

• 8

• 5