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

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

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

70

75

60

80

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Division

Addition

Multiplication

Subtraction

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

7

6

8

5

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