# Pythagorus' Theorum - Math Problems | Summary and Q&A

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May 29, 2013
by
tecmath
Pythagorus' Theorum - Math Problems

## TL;DR

Learn how to use Pythagoras's Theorem to find unknown side lengths in various types of triangles.

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### Q: What is Pythagoras's Theorem?

Pythagoras's Theorem states that in a right-angled triangle, the square of the length of one side added to the square of the length of the other side equals the square of the length of the hypotenuse.

### Q: How can Pythagoras's Theorem be applied to non-right-angled triangles?

To apply Pythagoras's Theorem to non-right-angled triangles, you can create right-angled triangles within them and use the theorem to find the lengths of the unknown sides.

### Q: Can Pythagoras's Theorem be used to find the height of a triangle?

Yes, Pythagoras's Theorem can be used to find the height of a triangle. By labeling the height as one side and using the base length and hypotenuse, you can apply the theorem to solve for the height.

### Q: What are some practical applications of Pythagoras's Theorem?

Pythagoras's Theorem is commonly used in fields such as architecture, engineering, and physics. It can be used to solve a variety of real-world problems involving measurements and distances in both two-dimensional and three-dimensional space.

## Summary & Key Takeaways

• The video explains Pythagoras's Theorem, which states that the square of the two shorter sides of a right-angled triangle is equal to the square of the longest side (hypotenuse).

• The video demonstrates how to use Pythagoras's Theorem to find unknown side lengths in non-right-angled triangles by creating right-angled triangles within them.

• Two examples are provided, showing step-by-step calculations to find the lengths of unknown sides using Pythagoras's Theorem.

• The video also discusses using Pythagoras's Theorem to find the height of a triangle and mentions its application in calculating the area of a triangle.