Respuesta :
Answer:
1.)
132 cm - 11 cm = 121 cm
So let the hypotenuse be x and the other leg be (121 - x).
11^2 + (121 - x)^2 = x^2
121 + 121^2 - 121(2)x = 0
x = 1/2 + 121/2 = 61 cm
Step-by-step explanation: not sure if this is right or not
The value of hypotenuse of the given triangle is 61 cm.
Given-
The one side length of the triangle is 11 cm.
The perimeter of the triangle is 132 meter.
We know that the perimeter of the triangle is the sum of the all three triangle. Then the sum of hypogenous [tex]x[/tex] and the other leg is equal to the difference of the given leg and the perimeter of the triangle. Thus,
[tex]=132-11[/tex]
[tex]=121[/tex]
Let x be the length of the hypotenuse. Thus the length of the other leg will be (121-x). By Pythagoras theorem,
[tex]x^2=11^2+(121-x)^2[/tex]
[tex]x^2=121+14641+x^2-242x[/tex]
[tex]0=121+14641-242x[/tex]
Divide both side by 121
[tex]0=1+121-2x[/tex]
On solving it, we get,
[tex]x=61[/tex]
Thus the value of hypotenuse of the given triangle is 61 cm.
For more about the triangle follow the link given-
https://brainly.com/question/25813512
