How to apply the pythagorean theorem to a triangle

How to apply the pythagorean theorem to a triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the Pythagorean theorem, focusing on identifying the parts of a right triangle, such as the legs and hypotenuse. It demonstrates how to apply the theorem to solve for unknown sides by using the formula a^2 + b^2 = c^2. The tutorial includes a step-by-step calculation example, showing how to subtract and take the square root to find the length of an unknown side. The lesson concludes with a brief summary of the key points covered.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the defining characteristic of a right triangle?

It has three acute angles.

It has two equal sides.

It has an obtuse angle.

It has a 90-degree angle.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Pythagorean theorem, what do the letters A and B represent?

The perimeter of the triangle

The hypotenuse and one leg

The two legs of the triangle

The angles of the triangle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you set up the Pythagorean theorem equation for a right triangle?

a^2 = b^2 + c^2

a^2 + b^2 = c^2

a + b = c^2

a^2 + b^2 = c

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for an unknown side using the Pythagorean theorem?

Add the squares of the known sides.

Divide the hypotenuse by one leg.

Subtract the square of one leg from the square of the hypotenuse.

Multiply the known sides.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step to find the length of the unknown side in the Pythagorean theorem?

Take the square root of the result.

Subtract the hypotenuse from the legs.

Multiply the hypotenuse by the legs.

Add the squares of the legs.