If the hypotenuse of a 30-60-90 triangle has length 15, then the shorter leg has length

5.5

6.5

7.5

Step-by-step explanation:

Given : If the hypotenuse of a 30-60-90 triangle has length 15 then the shorter leg has length  5.5 , 6.5 , 7.5.

To find : What is the length of the other leg and hypotenuse ?

Solution :

For a  30-60-90 triangle, sides are in the ratio  

where, 1 is the shorter side,  

the other side

and 2 the hypotenuse.

Short leg = 5.5

Other leg =

Hypotenuse =

Short leg = 6.5

Other leg =

Hypotenuse =

Short leg = 7.5

Other leg =

Hypotenuse =

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4