Solve for the missing side: simplify the radical
1 answer:
Answer:
Step-by-step explanation:
I will assume the following:
- You know how to use the quadratic formula
- You know how to simplify radicals
- You know how to use the pythagorean theorem.
The challenge of this exercise comes from using the pythagorean theorem and setting up a few equations.
Given that we have a segment 36 units long and another segment that is 16, it is trivial to get the other segment, 20. Additionally, there are two sides that I want to name so that way I can make a couple of substitutions. I will call these side a and side b. (see attachment 1)
Now comes with setting up three equations. I will start with the two smaller triangles, using side a and side b. See attachments 2 and 3.
Now with the big triangle. I will set up one last equation. See attachment 4.
Given what we know about attachment 2 and 3, we can make two substitutions. See attachment 5. I assume you know how to do the rest and arrive at your only real solution.
You might be interested in
The equation y = x + 8 uses the slope intercept form
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
In this case
y = 1x + 8
m = 1
y = x + 8
b = 8 OR y-intercept of this line is (0, 8)
You can plot the point (0, 8) on a graph. Then to find the next point you will rise up 1 and over right 1 (this is the slope). You can find another point after that by going down one and left one from the point (0, 8)
The graph should look like the one in the image below
Hope this helped! Let me know if you have any further questions
~Just a girl in love with Shawn Mendes
