Similar Rights

Name any triangles that are similar to [math]\bigtriangleup[/math]ABC.
Find the geometric mean of 8 and 32.
Find the geometric mean of 14 and 20.
Real world
https://www.bigideasmath.com/BIM/teacher/assignment/preview?showAnswers=true&assignmentId=a335d84c-790a-45ab-975d-2d3b152fd503&assessmentId=HSCC_Geom_Ch9_Sec3_v0&courseContentId=HSCC_Geom_Ch9_Sec3&classroomId=f200fd38-c988-44eb-9a10-0169524e9397
You want to determine the height of a monument at a local park. You use a cardboard square to line up the top and bottom of the monument, as shown. Your friend measures the vertical distance from the ground to your eye and the horizontal distance from you to the monument. Approximate the height of the monument to the nearest tenth.
https://www.bigideasmath.com/BIM/teacher/assignment/preview?showAnswers=true&assignmentId=a335d84c-790a-45ab-975d-2d3b152fd503&assessmentId=HSCC_Geom_Ch9_Sec3_v0&courseContentId=HSCC_Geom_Ch9_Sec3&classroomId=f200fd38-c988-44eb-9a10-0169524e9397
If you needed to add a cross brace for the stairs at location x, how long will it need to be? Round answers to the nearest hundreth.
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