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30 votes
30 votes
Find x.

A. 7√6/2
B. 28
C. 21/2
D. 7√6

Find x. A. 7√6/2 B. 28 C. 21/2 D. 7√6-example-1
User Meenxo
by
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1 Answer

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Answer:

A. 7√6/2

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

User Justin Carrey
by
2.6k points