Question

In the figure below, segment RS is the altitude of the hypotenuse of triangle PQR.
Which proportionality statement is true?

A) QS/RS = RS/PS
B) RP/SP = RQ/SQ
C) QR/RP = QS/SP
D) QS/RS = PS/RS

Answer 1

what is the letter at the top?

Answer 2

Of the triangle? its P

Answer 3

the answer is D, because if you draw out the triangles then draw line that represent the letters, D is the only one that works. Hope it Helps

Answer 4

thank you for the help

Answer 5

You'll need one or both of these theorems:

Theorem: If an altitude is drawn to the hypotenuse of a right triangle, either leg of the triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to that leg.

Theorem: If the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the lengths of the segments of the hypotenuse.

Answer 6

A) QS/RS = RS/PS
Theorem one.

Answer 7

Wait is The answer A or D?

Answer 8

Apply this theorem:

Theorem: If the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the lengths of the segments of the hypotenuse.