At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
B) 41"
If the legs of 41" are 9" less than half the base, the base is:
(41-9) 2 = 64
All sides of the triangle added together (perimeter):
41" + 41" + 64" = 146"
Hope this helps! ~ArchimedesEleven
If the legs of 41" are 9" less than half the base, the base is:
(41-9) 2 = 64
All sides of the triangle added together (perimeter):
41" + 41" + 64" = 146"
Hope this helps! ~ArchimedesEleven
let, the base of the given isosceles triangle be "x"
Now,
If the base is x, then the length of the legs will be [tex]9+ \frac{1}{2}x [/tex]
Now,
Perimeter = sum of all sides
[tex]146 = (9+ \frac{1}{2}x )+(9+ \frac{1}{2}x)+x[/tex]
[tex]146 = 18+x+x[/tex]
[tex]146 - 18 = 2x[/tex]
[tex]128 = 2x[/tex]
[tex] \frac{128}{2} =x[/tex]
[tex]64 =x[/tex]
Now, substitute the value of x in the equation for legs of the triangle,
legs = [tex]9+ \frac{1}{2}x[/tex]
= [tex]9+ \frac{1}{2}(64)[/tex]
= [tex]9+ 32[/tex]
= [tex]41[/tex] inches.
So, the answer to your question is B.
Now,
If the base is x, then the length of the legs will be [tex]9+ \frac{1}{2}x [/tex]
Now,
Perimeter = sum of all sides
[tex]146 = (9+ \frac{1}{2}x )+(9+ \frac{1}{2}x)+x[/tex]
[tex]146 = 18+x+x[/tex]
[tex]146 - 18 = 2x[/tex]
[tex]128 = 2x[/tex]
[tex] \frac{128}{2} =x[/tex]
[tex]64 =x[/tex]
Now, substitute the value of x in the equation for legs of the triangle,
legs = [tex]9+ \frac{1}{2}x[/tex]
= [tex]9+ \frac{1}{2}(64)[/tex]
= [tex]9+ 32[/tex]
= [tex]41[/tex] inches.
So, the answer to your question is B.
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.