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Draw a DeltaABC in which AB=4 cm, BC=6 c...

Draw a `DeltaABC` in which AB=4 cm, BC=6 cm and AC=9cm. Construct a triangle similar to `DeltaABC` with scale factor `(3)/(2)`. Justify the construction. Are the two triangles congruent ? Note that all the three angles and two sides of the two triangles are equal.

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AI Generated Solution

To construct triangle \( \Delta ABC \) with sides \( AB = 4 \, \text{cm} \), \( BC = 6 \, \text{cm} \), and \( AC = 9 \, \text{cm} \), and then create a similar triangle with a scale factor of \( \frac{3}{2} \), follow these steps: ### Step-by-Step Solution: **Step 1:** Draw a line segment \( BC \) of length \( 6 \, \text{cm} \). **Step 2:** With center \( B \) and radius \( 4 \, \text{cm} \), draw an arc above the line segment \( BC \). ...
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