Question 1202263
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(1) Use Heron's formula to find the area of triangle PQR.<br>
{{{A=sqrt(18*1*9*8)=36}}}<br>
(2) Use the angle bisector theorem to show that the area of triangle PXR is 17/(17+9) = 17/26 the area of triangle PQR.<br>
{{{A=36(17/26)}}}<br>
(3) Find x, the length of XY, using the area of triangle PXR with side PR as the base.<br>
{{{36(17/26)=(1/2)(17)(x)}}}
{{{x=(36*17/26)/((1/2)17)=(36/26)/(1/2)=36/13}}}<br>
ANSWER: 36/13<br>