3 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form.

Mathematics

1 answer:

Leto [7]3 years ago

4 0

9514 1404 393

Answer:

x = 18
y = 9

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

1 : √3 : 2

In the same order, the given side lengths are ...

y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.

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