Question
The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.
Answer:


Step-by-step explanation:
Let the hypotenuse be y and the other legs be x.
So:

Required
Determine the exact dimension of the triangle
Using Pythagoras theorem;


This gives:

Open bracket

Collect like terms


Using quadratic formula:




Split


x can not be negative.
So:


Recall that:



Hence, the dimensions are:


Answer:
-16
Step-by-step explanation:
k = 3
-2(3) + 5 = -1
k = 4
-2(4) + 5 = -3
k = 5
-2(5) + 5 = -5
k = 6
-2(6) + 5 = -7
(-1) + (-3) + (-5) + (-7)
= -16