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Answer:
x intercept of CD = 17
Step-by-step explanation:
We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.
For that we need to find the equation of CD
we have coordinates of C , and hence if we have slope of CD we can find equation of CD
Slope of CD can be determine with the help of slope of AB as CD⊥ AB
So, the slope of CD
Hence we start from determining slope of AB
slope is given as
Hence
There fore
(∵ Product of Slopes of two perpendicular lines is always -1)
Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)
Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x
Hence the x intercept is 17
