Question

5 multiple choice 1 point given a 30 - 60 - 90 triangle whose shortest leg is 3 centimeters, what is the length of the hypotenuse? 1.5 cm 3\sqrt{2} cm 6 cm 3\sqrt{3}cm

Explanation:

Step1: Recall 30 - 60 - 90 triangle rule

In a 30 - 60 - 90 triangle, if the length of the shortest leg (opposite the 30 - degree angle) is $a$, the length of the hypotenuse $c$ is given by $c = 2a$.

Step2: Substitute the given value

Given $a = 3$ cm, then $c=2\times3$.
$c = 6$ cm

Answer:

C. 6 cm