Evaluate. Write your answer as a mixed number.
1 answer:
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we know that
In a right triangle we have
two legs and one hypotenuse
Let
a,b -----> the legs of the right triangle
c-----> the hypotenuse of the right triangle (the greater side)
Applying the Pythagoras Theorem
therefore
<u>the answer is</u>
The length of the hypotenuse squared is the length of one leg squared plus the length of another leg squared
[1] The median to the base passes through the top point (0,b) and the bottom point (0,0) since it is going straight down. The slope formula is
So, the slope of the median is (b-0)/(0-0) = b/0. Technically, this is undefined, but let's leave it this way for now.
[2] The base passes through the left point (-a,0) and the right point (a,0). Its slope must be (0-0)/(a-(-a)) = 0.
[3] We now check if the slopes are negative reciprocals. Flipping b/0 over and putting a negative sign gives:
b/0 -> - 0/b = 0
So the slopes are negative reciprocals, which means the lines are perpendicular.
So, the slope of the median is (b-0)/(0-0) = b/0. Technically, this is undefined, but let's leave it this way for now.
[2] The base passes through the left point (-a,0) and the right point (a,0). Its slope must be (0-0)/(a-(-a)) = 0.
[3] We now check if the slopes are negative reciprocals. Flipping b/0 over and putting a negative sign gives:
b/0 -> - 0/b = 0
So the slopes are negative reciprocals, which means the lines are perpendicular.
Step-by-step explanation:
this is the answer
the quadrilateral thus formed is parallelogram
