hopeful219

i know this question might be easy... but i can't seem to get the right answer...
Help me people...
its In the blue book by the college board... pg 475 number 15.. (math section)
I can't draw the picture but hopefully you guys have the book for reference?

the question is:
In triangle PQR above, QS/QV=1/3 and PT/PR=3/4. What is the value of the fraction area PST/PQR?
And I am sorry there isn't a picture but the triangle PST is in the triangle PQR, and thier heights are aligned with each other and perpendicular to the base... PLZZZZZ someone help me!

valikor2

Sorry about the earlier post -- i accidently answered #13 for you instead of #15 (and i was astonished that anyone had difficulty with 13:-P)

This is what i did

Let PT = 3y
Let TR = y

(follows logically from givens)

Let QS = x
Let SV = 2x

(also follows logically from the givens)


The area of the big thing is .5(4y)(3x) = 6xy
The area of the small thing is .5(3y)(2x) = 3xy

The big part is twice as big. The fraction is 1/2.

QED.

hopeful219

hey thanks very much...