A ball weighs 15 pounds on Earth and 5.7 on Mars. What is the constant proportionality between the weight of an object on Mars a
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Polygon ABCD was dilated by a scale factor of 3/2 to form polygon A'B'C'D'. The scale factor used was 3/2. The length AB is 2 and the length A'B' is 3.
<h3>What is a transformation?</h3>Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure.
Polygon ABCD was dilated by a scale factor of 3/2 to form polygon A'B'C'D'. The scale factor used was 3/2. The length AB is 2 and the length A'B' is 3.
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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
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