Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

One side of a triangle is half the longest side.The thirds side is 12 feet less than the longest side. The perimeter is 53 feet. Find all three sides.

Sagot :

naǫ
the longest side = x
the second side is half the longest side = (1/2)x
the third side is 12 feet less than the longest side = x-12

The perimeter (the sum of all sides) is 53.
[tex]x+\frac{1}{2}x+x-12=53 \\ x+\frac{1}{2}x+x=65 \\ 2\frac{1}{2}x=65 \\ \frac{5}{2}x=65 \\ x=65 \times \frac{2}{5} \\ x=13 \times 2 \\ x=\boxed{26} \\ \\ \frac{1}{2}x=\frac{1}{2} \times 26=\boxed{13} \\ \\ x-12=26-12=\boxed{14}[/tex]

The lengths of the sides are 13, 14 and 26 feet.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.