Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Answer:
d = 12.6 ft
Step-by-step explanation:
From inspection of the given diagram, the diameter of the circle is equal to the shortest leg of the right triangle.
Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
- a and b are the legs of the right triangle.
- c is the hypotenuse (longest side) of the right triangle.
Therefore, use Pythagoras Theorem to find the measure of d.
Given values:
- a = d
- b = 18 ft
- c = 22 ft
Substitute the given values into the formula and solve for d:
[tex]\implies d^2+18^2=22^2[/tex]
[tex]\implies d^2+324=484[/tex]
[tex]\implies d^2=484-324[/tex]
[tex]\implies d^2=160[/tex]
[tex]\implies d=\sqrt{160}[/tex]
[tex]\implies d=12.6491106...[/tex]
Therefore, d = 12.6 ft (nearest tenth).
Learn more about Pythagoras Theorem here:
https://brainly.com/question/27648540
https://brainly.com/question/27988757
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.