Question

This is a 30-60-90 triangle.

What is the measure of x?
Rationalize the denominator.
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X=
7

Answer 1

2 21 3

Explanation:

Answer 2

x =
`(2√(21))/(3)`

Explanation:

For a 30-60-90 triangle:

• Short leg = s
• Long leg = s√3
• Hypotenuse = 2s

Thus:

• Short leg = √7/√3 = (√21)/3
• Long leg = √7
• Hypotenuse = x = 2(√21)/3