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Use the 45-45-90 pattern to find both missing side lengths of each right triangle:
2)

Use the $45$ $-45$ $-90$ pattern to find both missing side lengths of each right triangle: $\newline$ $2$ )

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Find missing angles in special triangles

Full solution

Q. Use the

45

-45

-90

pattern to find both missing side lengths of each right triangle:

\newline

2

)

Recognize Triangle Properties: Step $1$ : Recognize the properties of a $45-45-90$ triangle. In such triangles, the legs are congruent and the hypotenuse is $\sqrt{2}$ times the length of each leg.
Assume Leg Length: Step $2$ : Since the problem doesn't specify which side lengths are given, let's assume one leg is given. If one leg is $1$ unit (for simplicity), then the other leg is also $1$ unit because they are congruent.
Calculate Hypotenuse: Step $3$ : Calculate the hypotenuse using the formula for a $45$ $-45$ $-90$ triangle. Hypotenuse = leg $\times \sqrt{2} = 1 \times \sqrt{2} = \sqrt{2}$ .
Verify Calculations: Step $4$ : Check if the calculations are correct. Both legs are $1$ unit each, and the hypotenuse is $\sqrt{2}$ , which follows the $45-45-90$ triangle rule.

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