Assume the following is a right triangle. What is the length of the missing side?
1 answer:
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Answer:
The actual distance between the cities is 211.67 cm.
Step-by-step explanation:
Given:
The map key indicates that 4.5 cm is equivalent to 75 cm.
Now, to find the actual distance between the cities if the cities are 12.7 cm apart on the map.
Let the actual distance be .
So, we set a proportion to find the actual distance:
4.5:12.7 = 75:x.
<em>Changing into fractions.</em>
<em>By cross multiplication we get:</em>
<em>Dividing both sides by 4.5 we get:</em>
Therefore, the actual distance between the cities is 211.67 cm.
Answer:
see below
Step-by-step explanation:
<h3>Proposition:</h3>Let the diagonals AC and BD of the Parallelogram ABCD intercept at E. It is required to prove AE=CE and DE=BE
<h3>Proof:</h3>1)The lines AD and BC are parallel and AC their transversal therefore,
2)The lines AB and DC are parallel and BD their transversal therefore,
3)now in triangle ∆AEB and ∆CED
therefore,
hence,
- AE=CE
- DE=BE
Proven