did i do this right?

The hypotenuse of a 30 ¨C 60-90 right triangle measure 18cm. What are the lengths of the longer leg and shorter leg?

i got -> 9 for the shorter leg and
9¡Ì3 -> 15.58845727 for the longer leg

is that right?

sorry

9 for shorter and 15.58845727 for longer

if the longer leg of a 30/-60/-90 triangle is 22�ã(3) inches long what is the length of the shorter leg

To find the lengths of the longer leg and shorter leg of a 30-60-90 right triangle, we can use the ratios of the sides. In a 30-60-90 triangle, the length of the longer leg is equal to the length of the shorter leg multiplied by the square root of 3, and the length of the hypotenuse is equal to twice the length of the shorter leg.

Given that the hypotenuse of the triangle measures 18 cm, we can deduce that the shorter leg is half of the hypotenuse, which is 9 cm.

To find the length of the longer leg, you correctly multiplied the length of the shorter leg by the square root of 3. So, 9 times the square root of 3 is approximately 15.58845727 cm.

Therefore, your calculations of 9 cm for the shorter leg and approximately 15.58845727 cm for the longer leg appear to be correct.