**Example 1**

Find b and c.

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Answer:

Answer:

The two legs of a 45-45-90 triangle are always the same length. The legs are the two sides that form the right angle: the 5 and the b. This means that b is also 5. To find the hypotenuse, we can use the shortcut and simply multiply the leg by the square root of 2.

**Example 2**

Find d and e.

**Answer:**

This one is slightly trickier because of the way the triangle has been drawn. Remember,the legs of a right triangle form the right angle, the form the letter "L". In this triangle, the two legs are d and 8: they form the 90 degree angle at the top. The legs of a 45-45-90 triangle are always the same length so d = 8. The hypotenuse is always across from the right angle. In this triangle, the hypotenuse is at the bottom of the triangle, the e. To find the hypotenuse of a 45-45-90 triangle, you need to multiply the leg by the square root of 2.