Answer:
The required result is proved with the help of angle bisector theorem.
Step-by-step explanation:
Given △ABD and △CBD, AE and CE are the angle bisectors. we have to prove that
Angle bisector theorem states that an angle bisector of an angle of a Δ divides the opposite side in two segments that are proportional to the other two sides of triangle.
In ΔADB, AE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment AD to the line segment AB.
→ (1)
In ΔDCB, CE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment CD to the line segment CB.
→ (2)
From equation (1) and (2), we get
Hence Proved.
Answer: (x,y) = (1,6)
Step-by-step explanation:
Evans finishes 42 laps in 96,6 mins and Loza finished 38 laps in 102,6 mins
Evans. 96,6÷42= 2,30 mins
Loza . 102,6÷38= 2,70 mins
2,70 mins - 2,30 mins
= 40 secs and Evan is faster with 40secs in each lap.
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