Question

Construct a ∆ABC in which BC = 5.8 cm, ∠B = ∠C = 30°. Measure AB and AC. What do you observe?

Answer 1

$$\begin{gathered} \begin{array}{l}\text{Steps of construction:}\\ \text{1}\text{. Draw BC=5}\text{.8 cm}\end{array} \\ 2.\mathrm{Draw}\angle \mathrm{BCY}=30° \\ 3.\mathrm{Draw}\angle \mathrm{CBX}=30° \\ 4.\mathrm{The}\mathrm{ray}\mathrm{BX}\mathrm{and}\mathrm{CY}\mathrm{intersect}\mathrm{at}\mathrm{A}. \\ \mathrm{Then},\mathrm{ABC}\mathrm{is}\mathrm{the}\mathrm{required}\mathrm{triangle}. \\ \mathrm{On}\mathrm{measuring}\mathrm{AB}\mathrm{and}\mathrm{AC}: \\ \mathrm{AB}=\mathrm{AC}=3.4\mathrm{cm} \end{gathered}$$