Answer:
Explanation:
to construct a right triangle given a leg and its opposite acute angle, you can follow these steps:
1. Start by drawing a line segment to represent one leg of the right triangle. Label one endpoint of this leg as point A.
2. From point A, use a protractor to measure the given acute angle. This angle will be opposite the leg you just drew.
3. Label the measured acute angle as angle B.
4. Use a compass to draw an arc with point A as the center and any radius. This arc should intersect the leg you drew in step 1.
5. Label the point of intersection between the arc and the leg as point C.
6. Connect points A and C with a straight line segment. This line segment will be the hypotenuse of the right triangle.
7. Measure the length of the leg you initially drew.
8. Use the measured length of the leg to determine the length of the other leg using trigonometric ratios. For example, if the leg you initially drew is adjacent to angle B, you can use the cosine function to find the length of the other leg.
9. Draw a line segment from point C that forms the calculated length of the other leg. This line segment will be perpendicular to the leg you initially drew.
10. Connect the endpoints of the two legs to form a right triangle.
By following these steps, you will be able to construct a right triangle given a leg and its opposite acute angle.
Remember to use a protractor and compass for accurate measurements and constructions.