Question
Construct a triangle similar to a given $\triangle\text{XYZ}$ with its sides equal to $\Big(\frac{3}{4}\Big)^\text{th}$ of the corresponding sides of $\triangle\text{XYZ}$ Write the steps of construction.
✓
Answer
Steps of construction:
- Draw a triangle $XYZ$ with some suitable data.
- Draw a ray $YL$ making an acute angle with $XZ$ and cut off $5$ equal parts making $YY_1 = Y_1Y_2 = Y_2Y_3 = Y_3Y_4.$
- Join $Y_4$ and $Z.$
- From$ Y_3,$ draw $Y_3Z’$ parallel to $Y_4Z $ and $Z’X’$ parallel to $ZX.$
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