Altitude/Leg Geometric Mean Practice (BFA)

Front

What is the geometric mean of two positive numbers a and b?

Back

Front

In a right triangle, what is the relationship between the lengths of the altitude to the hypotenuse and the segments it creates?

Back

Front

If AD = 4 and DB = 16 in triangle ABC, how do you find the length of the altitude CD?

Back

Front

What is the Pythagorean theorem?

Back

Front

How do you find the length of the hypotenuse in a right triangle?

Back

Front

What is the formula to find the length of a segment created by an altitude in a right triangle?

Back

Front

In triangle ABC, if CD is the altitude to hypotenuse AB, what is the relationship between the segments AD, DB, and the altitude CD?

Back

Front

What is the formula for the length of a steel brace in a right triangle formed by a ladder and a building?

Back

Front

If a ladder is 24 feet long and the distance from the foot of the ladder to the wall is 10 feet, how do you find the length of the brace?

Back

Front

What is the formula for finding the value of y if x is known in a geometric mean context?

Back