The value of the scale factor is 3. Then the height and area of the triangle ΔABC will be 9 ft and 54 square ft.
<h3>What is dilation?</h3>
Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
The area of the triangle ΔDEF is 6 square ft. And the base length of the triangle ΔDEF is 4 ft.
The area of the triangle is given as
Then the height of the triangle ΔDEF will be
Then the scale factor will be
Then the height of the triangle ΔABC will be
Then the area of the dilated triangle ΔABC will be
More about the dilation link is given below.
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Let me tell you the process so that you get to the answer
Remember first that the area of a regular polygon with x sides has each of them a length which can be represented by y
<span>A = 1/4 * xy^2 * Cot(180/x) </span>
<span>The purpose is to solve for y, so we get </span>
<span>y^2 = 4A/(xCot(180/x)) </span>
<span>y = √(4A/(xCot(180/x)))
The thing we need to change is A in the previous formula and with that we can use the equaation to be a constant. This could be represented by Z
</span><span>Z = √(4/(xCot(180/x)))
so
</span><span>Y = Z√A
</span><span>If we increase area by a factor s, y increases by a factor of √x.
</span>So if you want to know the triple then you need to increase it by <span> √3 </span> <span> </span>
Answer:
A and B: Isosceles (having two sides of equal length)
C: Equilateral (all sides are equal)
There are 3 more dots above the 13 than are above the 12, so the appropriate choice is ...
... A. 3
You must calculate the length of the segments.
Suppose segments AB and CD
Being A (m, n), B (p, q) C(r,s) and D(t,u)
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They are congruent if:
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