Question 1 of 8 A right triangle is one that contains a The Pythagorean Theorem Answer here degre angle. $$ \begin{array}{l}\text { SUBMIT }\end{array} $$

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A **right triangle** is defined as a triangle that contains one **90-degree** angle.

### The Pythagorean Theorem

In the context of a right triangle, the **Pythagorean Theorem** is a fundamental principle that relates the lengths of the triangle's sides. It states that:

$$ 
a^2 + b^2 = c^2 
$$

- **$$a$$** and **$$b$$** are the lengths of the legs (the sides that form the right angle).
- **$$c$$** is the length of the hypotenuse (the side opposite the right angle).

### Example

Suppose you have a right triangle with legs of lengths 3 units and 4 units. To find the length of the hypotenuse:

$$
3^2 + 4^2 = c^2 \
9 + 16 = c^2 \
25 = c^2 \
c = \sqrt{25} \
c = 5 \text{ units}
$$

So, the hypotenuse is 5 units long.

### Summary

- **Right Triangle:** Contains one 90-degree angle.
- **Pythagorean Theorem:** $$ a^2 + b^2 = c^2 $$ relates the sides of a right triangle.

If you have any more questions or need further clarification, feel free to ask!
A right triangle has one 90-degree angle. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse ($$ c $$) is equal to the sum of the squares of the other two sides ($$ a $$ and $$ b $$), so $$ a^2 + b^2 = c^2 $$.

Question 1 of 8 A right triangle is one that contains a The Pythagorean Theorem Answer here degre angle. \[ \begin{array}{l}\text { SUBMIT }\end{array} \]

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