how to construct triangle ABC,when AC=7 cm,AB=8 cm and BC=4 cm?

Dear Student,

$$\begin{gathered} \mathrm{Steps} \mathrm{of} \mathrm{Construction}: \\ \left(1\right) \mathrm{Draw} \mathrm{BC}=4 \mathrm{cm} \\ \left(2\right) \mathrm{With} \mathrm{B} \mathrm{as} \mathrm{centre} \mathrm{and} \mathrm{radius} 8 \mathrm{cm} \mathrm{draw} \mathrm{an} \mathrm{arc}. \\ \left(3\right) \mathrm{With} \mathrm{C} \mathrm{as} \mathrm{centre} \mathrm{and} \mathrm{radius} 7 \mathrm{cm} \mathrm{draw} \mathrm{another} \mathrm{arc} \mathrm{intersect} \mathrm{the} \mathrm{previous} \mathrm{arc} \mathrm{at} \mathrm{A}. \\ \left(4\right) \mathrm{Join} \mathrm{AB} \mathrm{and} \mathrm{AC} \\ \mathrm{Then} \mathrm{the} \mathrm{triangle} \mathrm{ABC} \mathrm{is} \mathrm{the} \mathrm{required} \mathrm{triangle}. \end{gathered}$$

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