Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
The perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
What is an isosceles right angled triangle?
It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.
Referring to the figure, assuming:
- Both equal sides are of length 'a' feet
- The unequal side is of the length 'b' feet.
Using the Pythagoras theorem, we get:
[tex]a^2 + a^2 = b^2\\\\a = b/\sqrt{2}[/tex]
It was given that length of one of the leg is of 3 ft. Leg of an isosceles triangle refers to one of its equal sides.
Thus, we got [tex]a = 3[/tex], and therefore, we have: [tex]a = b/\sqrt{2} \implies b = a\sqrt{2} = 3\sqrt{2}[/tex]
Thus, perimeter of the triangle as:
[tex]a + a + b = 2a + b = 6 +3\sqrt{2} \: \rm ft[/tex]
Thus, the perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
Answer:
C : 6 + 3√2 ft
Step-by-step explanation:
it is right
trust me
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
