Mathematics Grade 7 15 min

Pythagorean theorem: find the length of the hypotenuse (Introduction)

Pythagorean theorem: find the length of the hypotenuse (Introduction)

What you'll learn

  • Identify the hypotenuse in at least 4 out of 5 right triangles presented visually or described in text.
  • Apply the Pythagorean Theorem (a² + b² = c²) to correctly solve for the length of the hypotenuse (c) in at least 3 out of 4 right triangle problems, given the lengths of the other two sides (a and b).
  • Explain, in their own words, why the Pythagorean Theorem only applies to right triangles, using the terms 'legs' and 'hypotenuse' correctly.
  • Solve for the length of the hypotenuse, expressing the answer with correct units (e.g., cm, m, in), for at least 2 out of 3 word problems involving right triangles.

Tutorial Preview

1

Find the hypotenuse 'c' for a right triangle with legs 3 and 4.

2

Find the hypotenuse 'c' for a right triangle with legs 5 and 7.

3

A ladder is 8 feet from a wall and reaches 6 feet up. How long is the ladder?

Sample Practice Questions

Easy
A right triangle has legs of length 3 and 4. What is the length of the hypotenuse?
0.5
1.7
2.12
3.25
Easy
A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
0.10
1.14
2.48
3.100
Easy
The legs of a right triangle are 5 and 12. Find the hypotenuse.
0.13
1.17
2.60
3.169

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Frequently asked questions

What grade level is "Pythagorean theorem: find the length of the hypotenuse (Introduction)"?

Pythagorean theorem: find the length of the hypotenuse (Introduction) is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Pythagorean theorem: find the length of the hypotenuse (Introduction)?

You'll be able to: Identify the hypotenuse in at least 4 out of 5 right triangles presented visually or described in text; Apply the Pythagorean Theorem (a² + b² = c²) to correctly solve for the length of the hypotenuse (c) in at least 3 out of 4….

Is "Pythagorean theorem: find the length of the hypotenuse (Introduction)" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Pythagorean theorem: find the length of the hypotenuse (Introduction)?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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