Question

Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.

1. a = 4, b = 2√2

2. a = 4√3, b = 2√2

3. a = 4, b = 4√2

4. a = 4√3, b = 4√2

Answer 1

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Answer:

1. a = 4, b = 2√2

Explanation:

The right triangle is isosceles, so b is the same length as the marked side:

b = 2√2

The hypotenuse of an isosceles right triangle is √2 times the leg length, so ...

a = (√2)(2√2) = 2·2 = 4

The missing sides are ...

a = 4, b = 2√2