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The Figures Shown Are Similar. What Is The Scale Factor 24cm

The figures shown are similar. What is the scale factor 21 14?

Scale of 21:14 reduces to 3:2

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In a triangle ABC, AD is the bisector of angle BAC, if AB=6cm, AC=5cm and BD=3, then DC=?

By Angle bisector theorem: which states that, the ratio of any 2 sides of a triangle is eaqual to the ratio of the lengths of the segments formed on its third side, by the angle bisector of the angle formed by those 2 sides.So, here, AB/AC = BD/DC=> 6/5 = 3 / DC=> DC = 15/6 = 5/2 = 2.5 cm

Two questions about scale factors; are my answers correct?

I don't understand scale factors; but I'm trying.

Triangle UVW is the pre-image of triangle RST with a scale factor of 3. Find the area of triangle UVW if the area of triangle RST is 9 cm2.

I said that the answer would be 9.

Find the area of the pre-image rectangle QRST if the area of the image rectangle DEFG is 54 cm2 and the scale factor is 3/2?

108?

BE is parallel to CD ABC and AED are straight lines. AB= 6cm, BC=24cm, CD=20cm,AE=3cm.?

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