Points b d and f are midpoints of ten sides of ace ec=44 df=25 find ac

Mathematics

1 answer:

scZoUnD [109]3 years ago

4 0

Answer:

The length of AC is;

C. 50

Step-by-step explanation:

By the midpoint of a triangle theorem, we have that a segment that spans across and intersects with the midpoints of two sides of a triangle is equal to half the length of the third side and parallel to the length of the third side

The given parameters are;

The midpoints of ΔACE are B, D, and F

The length of EC = 44

The length of DF = 25

Therefore, we have;

Given that DF is a midsegment of triangle ΔACE, then DF ║ AC and

the length of DF = (1/2) × AC the length of AC

∴ The length of AC = 2 × The length of DF

The length of DF = 25

∴ The length of AC = 2 × 25 = 50

The length of AC = 50

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