39 Geom1 Right Triangle Proportions

Geom1 Proportions in Right Triangles Name1. Find the geometric mean of 180 and 5.(a) 25 (b) 30 (c) 92.5 (d) 362. Find the geometric mean of 48 and 3.3. Solve for x.4. Solve for a and b.5. Find the length of the altitude drawn tothe hypotenuse.6. Solve for a and b.(a) a = 400, b = 20 (b) a = 20, b = 580 (c) a = 580, b = 29 (d) a = 400, b = 58021 21 21 21 21 21 21 21

7. Find the value of x.(a) 2√65 (b) √91 (c) 2√5 (d) 2√358. The Bunker Hill Monument in Charlestown, MA, casts a shadow 90 feetlong at the same time a 5-foot-tall person casts a 2-foot shadow. About howtall is the monument?9. The altitude to the hypotenuse of a right triangle divides the hypotenuseinto segments of length a and b. Describe how to find the areas of thetriangle in terms of a and b.10. The ratio of the segments into which the altitude to the hypotenuse of aright triangle divides the hypotenuse is 9:4. What is the length of thealtitude? (a) 6 (b) 3 (c) 36 (d) cannot be determined11. Refer to the figure to complete eachproportion.a) c = e b) …?... = ab ? d + a b