Question

Draw a right triangle having hypotenuse of length 5.4 cm, and one of the acute angles of measure 30°.

Answer 1

Let ABC be the right triangle at A such that hypotenuse BC = 5.4 cm. Let $\angle C=30°$.
Therefore $$\begin{gathered} \angle A+\angle B+\angle C=180° \\ \angle B=180-30-90=60° \end{gathered}$$
Steps of construction:

1. Draw a line segment BC = 5.4 cm.
2. Draw angle CBY = 60^o.
3. Draw angle BCX of measure 30^o with X on the same side of BC as Y.
4. Let BY and CX intersect at A.

Then ABC is the required triangle.