Find x.
A. 7√6/2
B. 28
C. 21/2
D. 7√6
![Find x A 762 B 28 C 212 D 76 class=](https://us-static.z-dn.net/files/d56/e675d2c165e1369dbc9545995e1dc866.png)
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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