The distance from E to side AD is 25/13.
<h3>
What is a distance?</h3>
- The length of the line connecting two places is the distance between them.
- If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical values.
To find what is the distance from E to side AD:
- If you draw a diagram, you'll see that triangle AEB is a right triangle with lengths 5, 12, and 13.
- Let's call F the point where E meets side AD, so the problem is to find the length of EF.
- By Angle-Angle Similarity, triangle AFE is similar to triangle BEA. (the right angles are congruent, and both angle FAE and ABE are complementary to angle BAE)
- Since they're similar, the ratios of their side lengths are the same.
- EF/EA = EA/AB (they're corresponding side lengths of similar triangles).
Substitute them with known lengths:
- EF/5 = 5/13
- EF = 5 × (5/13) = 25/13
Therefore, the distance from E to side AD is 25/13.
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The correct answer is given below:
Square ABCD has side lengths of 13 units. Point E lies in the interior of the square such that AE=5 units and BE=12 units. What is the distance from E to side AD? Express your answer as a mixed number.
Answer: 9
Step-by-step explanation:
From doing the math I think it should be 9
The actual value is 250.84 .
Formula
Percentage calculation =(given value/total value)*100
let the actual value is "x"
percentage we known is 59 1/5% (59.2%) and 59.2% of x is 148.5.
for the percentage,
x*59.2% =148.5
x*59.2/100=148.5
x=(148.5/59.2)*100
x=(2.5084)*100
x=250.84
The actual value is 250.84 .
Learn more about the percentage here:
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