Analytical Geometry
Name__________________________
Solving Right Triangles
Open the Geogebra app and create a right triangle
1. Use the ray tool to make ray AB and ray AC.
2. Use the point tool to put point D on ray AC
3. Use the intersection tool to make a perpendicular line from point D to ray
AB
4. Use the point tool to put point E at the intersection of the perpendicular
lines.
5. Hide all rays and line
6. Use the segment tool to create segment AE, segment ED, and segment AD
7. Use the finger tool to put the value of AE and ED on the right triangle.
8. Use the Pythagorean Theorem to determine the value of AD. (show work)
9. Use the inverse trigonometric ratios to determine the measure of <A.
(show work)
10. Use the postulate that states the acute angles of a right triangle are
complementary. (show work)
11. Check your work by measuring AD, <A and <D.
Open the Geogebra app and create a right triangle
1. Use the ray tool to make ray AB and ray AC.
2. Use the point tool to put point D on ray AC
3. Use the intersection tool to make a perpendicular line from point D to ray
AB
4. Use the point tool to put point E at the intersection of the perpendicular
lines.
5. Hide all rays and line
6. Use the segment tool to create segment AE, segment ED, and segment AD
7. Use the finger tool to put the value of AD on the right triangle. Use angle
measuring tool to measure <A
8. Use the trigonometric ratios to determine the value of AE. (show work)
9. Use the trigonometric ratios to determine the value of DE. (show work)
10. Use the postulate that states the acute angles of a right triangle are
complementary find <D (show work)
11. Check your work by measuring AE, DE, and <D.