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2 years ago

What is the length of the hypotenuse in the 30 60 90 triangle shown below

1 answer:

6 0

Answer:

Step-by-step explanation:

In a 30-60-90, the hypotenuse is twice the length of the short side. If the short side is 6, the long side is 12

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He answered .85, 85% or 17/20 correct on the test.

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laila [671]

It's a quadratic equation in disguise. If you let $y=x^{-1}$ , then $y^2=x^{-2}$ , and we can rewrite the equation as

$5y^2-17y+6=0$

Solve for $y$ however you like; we get $y=\dfrac25$ and $y=3$ .

But we want to solve for $x$ , so we have

$y=x^{-1}=\dfrac25\implies x=\dfrac52$

$y=x^{-1}=3\implies x=\dfrac13$

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