U3C1: Right Triangles and the Pythagorean Theorem

Question 1

altitude

Answer 1

a perpendicular segment from a vertex to the opposite side

Question 2

altitude of a right triangle theorem

Answer 2

if an altitude is drawn from the vertex of the right angle in a right triangle to the hypotenuse, then the two right triangles that are formed are similar to the given triangle and each other

Question 3

geometric mean

Answer 3

a/x = x/b
x^2 = ab

Question 4

geometric mean theorem 1

Answer 4

the measure of an altitude drawn from the vertex of the right angle of a right triangle to the hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse

Question 5

geometric mean theorem 2

Answer 5

when an altitude is drawn to the hypotenuse of a right triangle, the measure of each leg is the geometric mean between the measure of the hypotenuse and the measure of the segment of the hypotenuse adjacent to that leg