SOLUTION: A rectangle has a 12 cm2 area is inside a right triangle, as shown in the image. <a rel=nofollow HREF="http://es.tinypic.com?ref=sp81g3" target="

SOLUTION: A rectangle has a 12 cm2 area is inside a right triangle, as shown in the image. <a rel=nofollow HREF="http://es.tinypic.com?ref=sp81g3" target="_blank"><img src="http://i67.ti

Question 1087043: A rectangle has a 12 cm2 area is inside a right triangle, as shown in the image.

Calculate x and y.
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.

Two smaller right-angled triangles are similar, which gives the proportion

 = .


It implies

(8-x)*(6-y) = xy,

48 - 6x - 8y + xy = xy,

48 = 6x + 8y,

3x + 4y = 24.


So, you have these two equations

3x + 4y = 24,    (1)   and
xy = 12.         (2)


From (1), express x =  and substitute it into (2). You will get

a quadratic equation, which you can easily solve (by any method you know).


I will leave the details to you.


Answer.  x = 4 cm, y = 3 cm.

RELATED QUESTIONS
(answered by mananth)
(answered by MathLover1)
(answered by ikleyn)
(answered by Fombitz)
(answered by josgarithmetic,math_helper)
(answered by algebrahouse.com)
(answered by Alan3354)
(answered by ikleyn)
(answered by Alan3354)