Question

In the accompanying diagram, ARST is a right triangle, SU is the altitude to hypotenuse RT, RU = 4, and UT = 12. What is the length of RS? A 8 S B 48 R T C 160 4 U 12 D 24

Answer 1

RU / leg = leg /RT

4/RS = RS/16

RS^2 = 16 x 4

RS = √64 = 8

RS = 8