How to use the converse of Pythagorean Theorem to determine if a triangle is right angled

How to use the converse of Pythagorean Theorem to determine if a triangle is right angled

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use the converse of the Pythagorean theorem to determine if given side lengths form a right triangle. It involves applying the Pythagorean theorem formula, where the sum of the squares of the two shorter sides should equal the square of the longest side, the hypotenuse. An example calculation is provided to illustrate the process, showing that the given sides do not form a right triangle.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using the converse of the Pythagorean theorem?

To calculate the area of a triangle

To identify if a triangle is right-angled

To find the perimeter of a triangle

To determine the type of triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to verify if a triangle is right-angled?

a^2 + b^2 = c

a^2 - b^2 = c^2

a + b = c^2

a^2 + b^2 = c^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Pythagorean theorem, what does the largest number represent?

The area of the triangle

The hypotenuse of the triangle

The height of the triangle

The base of the triangle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of the example calculation 49 + 196?

200

225

245

256

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What conclusion is drawn from the example problem?

The sides form a right triangle

The sides form an isosceles triangle

The sides do not form a right triangle

The sides form an equilateral triangle