Determine if the sides of a triangle produce a right triangle ex 1

Determine if the sides of a triangle produce a right triangle ex 1

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 three given sides form a right triangle. It identifies the largest side as the hypotenuse and applies the theorem by squaring the sides and checking if the sum of the squares of the legs equals the square of the hypotenuse. The calculations confirm that the sides do indeed form a right triangle, with the hypotenuse being 11 and the legs being 2√10 and 9.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What theorem is used to determine if three sides can form a right triangle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you label the sides of a triangle when determining if it is a right triangle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula used to verify the Pythagorean theorem?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Calculate the square of the hypotenuse if the legs are 2√10 and 9.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What conclusion can be drawn about the sides 2√10, 9, and 11 in relation to forming a right triangle?

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