Find x. A. 7√6/2 B. 28 C. 21/2 D. 7√6

Mathematics

1 answer:

Veronika [31]3 years ago

8 0

9514 1404 393

Answer:

A. 7√6/2

Step-by-step explanation:

The side ratios of the 30-60-90 triangle are 1 : √3 : 2. This means the horizontal line segment is 7√3.

The side ratios of the 45-45-90 triangle are 1 : 1 : √2. This means ...

x = (horizontal segment)/√2 = (√2)/2 × 7√3 = (7/2)√(2·3)

x = 7√6/2

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