In the diagram shown, AE 1/3AC and ED ll CB. Explain why df must be one-fourth length of CD
1 answer:
The value of the length DF is 1/4 of that of CD because of the Angle Bisector Theorem for triangles.
<h3>What is the Angle Bisector Theorem?</h3>
The Angel Bisector Theorem states that if a ray bisects an angle of a triangle, it dissects the side of the triangle that is opposite to the dissected angle into parts that are proportionate to the adjacent sides.
Note that the angle that has been dissected here is ∠CBD. Thus,
=
See the link below for more about Angle Bisector Theorem of the Triangle:
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Using two unit multiplier 628 km is equal to 62800000 cm
<u>Solution:</u>
628 kilometer to centimeter
We will go from kilometers to meters to centimeters.
Start by putting 628 km over 1:
We want to get rid of km and bring in m.
We know that 1000 m = 1 km.
Since km is in the numerator, we will make the first unit multiplier by putting 1 km in the denominator and 1000 m in the numerator, so the km will cancel. So we multiply by the unit multiplier,
Now the km's will cancel:
Now we want to get rid of m and bring in cm.
We know that 100 cm = 1 m.
Since meter is in the numerator, we will make the first unit multiplier by putting 1 meter in the denominator and 100 cm in the numerator, so the meter's will cancel. So we multiply by the unit multiplier
We cancel the m's and we end up with:
= 62800000 cm
Thus 628 km is equal to 62800000 cm