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

Hypotenuse  = 10 cm.

Step-by-step explanation:

Given : In a 30-60-90 triangle when the shorter leg is 5 cm.

To find  : What is the length of the hypotenuse.

Solution : We have given a 30-60-90 triangle

By the 30-60-90 triangle rule :

The hypotenuse is equal to twice the length of the shorter leg.

The longer leg is equal to multiplying the shorter leg by the square root of 3.

Hence ,  hypotenuse =  twice the length of the shorter leg.

Hypotenuse = 2 * 5 = 10 cm

Therefore,  Hypotenuse  = 10 cm.

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