Respuesta :

MrRamon
14 inches.  A 30-60-90 triangle has a set ratio for the sides which is x:x√3:2x for the sides opposite the corresponding angle. (30 = x, 60 = x√3, 90 =2x) the shortest side is the side opposite the 30-degree angle so x=7. The hypotenuse is the side opposite the 90-degree angle. they hypotenuse = 2x. Substitute x. 2(7)=14
abidemiokin

The length of the hypotenuse is 14in

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{7}{h}\\ h =\frac{7}{cos 60}\\ h = \frac{7}{0.5}\\ h = 14in\\ [/tex]

Hence the length of the hypotenuse is 14in

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

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