Schultz Huff
09/09/2024 · Senior High School

construct a \( \triangle A B C \) such that : \( A B=6 \mathrm{~cm}, B C=4 \mathrm{~cm} \) and \( C A=5.5 \mathrm{~cm} \)

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To construct triangle \( \triangle ABC \) with sides \( AB = 6 \) cm, \( BC = 4 \) cm, and \( CA = 5.5 \) cm, follow these steps: 1. **Draw base \( AB \):** Use a ruler to draw a 6 cm line segment and label the ends \( A \) and \( B \). 2. **Draw circle with center \( B \) and radius 4 cm:** Place the compass at \( B \) and draw an arc above or below \( AB \). 3. **Draw circle with center \( A \) and radius 5.5 cm:** Adjust the compass to 5.5 cm and draw another arc intersecting the first arc. 4. **Mark point \( C \):** The intersection of the two arcs is point \( C \). 5. **Connect \( A \) to \( C \) and \( B \) to \( C \):** Use the ruler to complete the triangle. Now, \( \triangle ABC \) has the specified side lengths.

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