Construct a right triangle having hypotenuse of length 5.6 and one of whose acute angle measure 30
construct a 60° angle AOB
Bisect it.
Measure out the hypotenuse and mark A.
Construct the perpendicular to OB.
To construct a right triangle with a hypotenuse of length 5.6 and one acute angle measuring 30 degrees, follow these steps:
Step 1: Draw a straight line segment and label it as the hypotenuse. In this case, the length of the hypotenuse is 5.6 units.
Step 2: At one end of the hypotenuse, draw a perpendicular line segment. This perpendicular line will be one of the legs of the right triangle.
Step 3: From the endpoint of the hypotenuse opposite to the perpendicular line, measure a distance of 5.6 * sin(30) units along the hypotenuse (using the trigonometric definition of sine, sin(angle) = opposite/hypotenuse). This will give the length of the other leg of the right triangle.
Step 4: Join the endpoint of the hypotenuse opposite to the perpendicular line to the endpoint of the other leg. This will complete the construction of the right triangle.
By following these steps, you will have constructed a right triangle with a hypotenuse measuring 5.6 units and one acute angle measuring 30 degrees.