Geometry Quiz: Right Triangle and Geometric Mean

What are the vertices of the right triangle in the problem?

• School, library, and park

• School, hospital, and supermarket

• Library, park, and mall

• Hospital, mall, and library

What is the total length of the hypotenuse in the big triangle?

• 14.7 miles

• 5.292 miles

• 11.76 miles

• 8.82 miles

What is the shortest path from a point to a line called?

• Hypotenuse

• Altitude

• Bisector

• Median

How many triangles are formed when the altitude is drawn in the big triangle?

• Four

• Five

• Two

• Three

Which property of triangles is used to establish similarity in this problem?

• Side-Side-Side

• Angle-Angle

• Angle-Side-Angle

• Side-Angle-Side

What is the angle sum of a right triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

What is the length of the segment y calculated using proportions?

• 14.7 miles

• 5.292 miles

• 8.82 miles

• 11.76 miles

What mathematical concept is used to find the altitude in this problem?

• Arithmetic mean

• Quadratic mean

• Geometric mean

• Harmonic mean

What is the final calculated length of the altitude rounded to the nearest tenth?

• 6.9 miles

• 7.2 miles

• 7.0 miles

• 7.1 miles

Which two segments of the hypotenuse are used in the geometric mean calculation?

• 8.82 and 11.76

• 11.76 and 14.7

• 5.292 and 9.408

• 14.7 and 5.292