Question

construct a right triangle having hypotenuse of length 5.4 cm and one of the acuts angles of measure 30°​

Answer 1

Let ABC be the right triangle at A such that hypotenuse BC = 5.4 cm. Let C = 30°.

Therefore ∠A + ∠B + ∠C = 180°

∠B = 180° − 30°− 90° = 60°

Steps of construction:

1. Draw a line segment BC = 5.4 cm.

2. Draw angle CBY = 60°

3. Draw angle BCX of measure 30° with X on the same side of BC as Y.

4. Let BY and CX intersect at A.

5. Then ABC is the required triangle.