Question

Construct a right triangle having hypotenuse of length 5.6 cm and one of whose acute angles measures 30°.

Answer 1

$$\begin{gathered} \begin{array}{l}\text{Here,}\angle \text{A=30° and}\angle \text{C=90}°\\ \text{By angle sum property:}\\ \angle \text{B=60}°\end{array} \\ {\text{1. Draw the hypotenuse AB of length 5.6 cm.}}^{} \\ \text{2. Draw}\angle BAX=30°\mathrm{and}\angle ABY=60° \\ 3.\mathrm{The}\mathrm{ray}\mathrm{AX}\mathrm{and}\mathrm{BY}\mathrm{intersect}\mathrm{at}\mathrm{C}. \\ \mathrm{Then},\mathrm{ABC}\mathrm{is}\mathrm{the}\mathrm{required}\mathrm{triangle}. \end{gathered}$$