DE=EF=20см. знайти DF
Ответы на вопрос
Ответ:Оск DE=EF=20см а DF=DE+EF то DF=20+20=40см
Объяснение:
To find the length of DF, we can use the properties of an isosceles triangle. In an isosceles triangle, the two equal sides are opposite the two equal angles.
Since DE = EF = 20 cm, we know that angle DFE is also equal to angle DEF. Therefore, angle DFE = angle DEF.
Now, let's consider triangle DEF. The sum of the angles in a triangle is always 180 degrees. So, we can write:
angle DEF + angle DFE + angle EFD = 180 degrees.
Since angle DEF = angle DFE, we can rewrite the equation as:
2 * angle DEF + angle EFD = 180 degrees.
Since angle DEF + angle EFD = 180 degrees (from the definition of a straight line), we can substitute this value into the equation:
2 * angle DEF + 180 degrees = 180 degrees.
Subtracting 180 degrees from both sides gives:
2 * angle DEF = 0 degrees.
Dividing both sides by 2 gives:
angle DEF = 0 degrees.
Since angle DEF is 0 degrees, triangle DEF degenerates into a straight line, and the points D, E, and F are collinear.
In this case, the length of DF is simply the sum of the lengths of DE and EF:
DF = DE + EF = 20 cm + 20 cm = 40 cm.
Therefore, the length of DF is 40 cm.
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