Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:
1 answer:
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<h3>How to determine the hypotenuse?</h3><u>Step 1 and 2: Draw an isosceles right triangle</u>
See attachment (figure 1) for this triangle
The legs of this triangle have a length of 1 inch
<u>Step 3: The hypotenuse</u>
This is calculated using the following Pythagoras theorem
This gives
<u>Step 4: Draw another isosceles right triangle</u>
Add 1 inch to one of the legs
See attachment (figure 2) for this triangle
The legs of this triangle have lengths of 1 inch and 2 inches, respectively
This hypotenuse is calculated using the following Pythagoras theorem
This gives
<u>Step 5: Draw another isosceles right triangle</u>
Add 1 inch to one of the legs
See attachment (figure 3) for this triangle
The legs of this triangle have lengths of 1 inch and 3 inches, respectively
This hypotenuse is calculated using the following Pythagoras theorem
This gives
<u>Step 6: Draw another isosceles right triangle</u>
Add 1 inch to one of the legs
See attachment (figure 4) for this triangle
The legs of this triangle have lengths of 1 inch and 4 inches, respectively
This hypotenuse is calculated using the following Pythagoras theorem
This gives
See that the hypotenuse is the square root of 17
Hence, the right triangle whose legs are 1 inch and 4 inches has an hypotenuse of √17
Read more about right triangles at:
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