Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

HELP PLS! Worth 20 points!!
What is the hypotenuse and the shorter leg of a 30-60-90 triangle, if the longer leg is 12?

Sagot :

Let the hypotenuse be y and the shorter leg be x
sin30°= SHORTER LEG/HYPOTENUSE
1/2=x/y
2x=y..........(1)

cos30°=LONGER LEG/HYPOTENUSE
Root3/2=12/y
y=8 Root 3 units

Substituting y in equation 1:
2x=8 Root 3
x= 4 Root 3 units

Thus, the value of the hypotenuse is 8 Root 3 units, and the value of the shorter leg is 4 Root 3 units.