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Find the missing length indicated. Leave your answer as radicals in simplest form

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Find the missing length indicated. Leave your answer as radicals in simplest form-example-1
User Kiyoko
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1 Answer

3 votes

9514 1404 393

Answer:

a = 4

b = 2√3

Explanation:

The side lengths of a 30°-60°-90° right triangle are in the ratio 1 : √3 : 2.

The shortest side in the given triangle is 2, so we can multiply by 2 to see the ratios are ...

2 : 2√3 : 4 = 2 : b : a

b = 2√3

a = 4

User Lahiru Amarathunge
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4.8k points