jaeybird9
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In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?

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NewJack931
Yes the answer is

10cm

Because (The 30-60-90 Triangle Theorem)
In a 30-60-90 triangle, the length of the hypotenuse is TWICE the length of the shorter leg.

Thanks Shellbag101 
abidemiokin

The length of the hypotenuse is 10cm

SOH CAH TOA identity

Given a  30-60-90 triangle where:

Length of the shorter leg = 5cm (adjacent)

The hypotenuse is what we need.

[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]

Substitute the given parameters

[tex]cos 60 = \frac{5}{h}\\ h =\frac{5}{cos 60}\\ h = \frac{5}{0.5}\\ h = 10cm[/tex]

Hence the length of the hypotenuse is 10cm

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

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