9.1 Right Triangles

Question 1

If the altitude is drawn to the hypotenuse of a right triangle, then…

Answer 1

The two triangles formed are similar to the original (big) triangle and to eachother

Question 2

In a right triangle, the length of the altitude from the right angle to the big hypotenuse is…

Answer 2

The geometric mean of the lengths of the two segments of the hypotenuse

Question 3

In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments

Answer 3

Each leg of the big right triangle is the geometric mean of the whole hypotenuse and the segment of the hypotenuse that’s adjacent to that leg