Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Answer:
BC = 6√3 inches
Explanation:
Given - A = 60°, C = 30°, and AB = 6 inches.
To find - What is the length of side BC?
Proof -
Given that ,
∠A = 60° , ∠C = 30° , AB = 6 inches
Let AC = x
By trigonometric identity, we get
cos(60°) = 6/x
⇒x = 6/cos(60°) = 12
⇒AC = 12
Now,
we have
AB = 6 inches , AC = 12 inches
By Pythagoras theorem , we get
(12)² = (6)² + (BC)²
⇒(BC)² = 144 - 36
⇒(BC)² = 108
⇒BC = √108
⇒BC = 6√3 inches
∴ we get
BC = 6√3 inches
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
