astr0sisters
Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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 :

9Firefoxes
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.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.