Two angles of a triangle are 55° and 55°. it has two sides of equal length. which could it be?
1 answer:
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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.
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Answer:
In this case the dilation is a reduction (as you can see the image triangle is smaller than the original triangle)
and also the scale factor = OA’/OA = 2/6 = 1/3
since -1 < 1/3 < 1 then it’s a reduction.
Step-by-step explanation:
Look at the photo below for more details (notice OA’ and OA).
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