SOLUTION: The side AB of a rectangular ABCD is 12cm and the side AD is 9cm. P is a point in the side CD and Q is a point in the side BC such that angle APQ is a right angle. Taking DP as xcm

Question 1012750: The side AB of a rectangular ABCD is 12cm and the side AD is 9cm. P is a point in the side CD and Q is a point in the side BC such that angle APQ is a right angle. Taking DP as xcm, express BQ in terms of x
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
There are 3 angles at , whose measures add up to .

-->-->
In right triangle , .
---> .
In right triangle , .
---> .
So, triangles and are similar, because they have congruent pairs of angles.
Since they are similar corresponding sides are proportional:

--->
--->
--->
RELATED QUESTIONS
ABCD is a square with AB = 12. Point P is in an interior point whose distances to A, B,... (answered by checkley75)

P,Q,R, and S are midpoints of AB, BC, CD and AD respectively of square ABCD. P,Q,R, and... (answered by MathLover1)

In the figure, P and Q are the centers of two tangent circles and the line PQ intersects... (answered by lotusjayden,ikleyn,math_tutor2020)

Given a parallelogram ABCD, side AB is extended to a point P such that AB : BP = 2 : 1... (answered by solver91311)

Quadrilateral ABCD has side lengths of AB = 2z + 2, BC = 8, CD = 5z � 10, and AD = 8.... (answered by ewatrrr)

in a certain triangle, its two sides which meet at the right angle are 9cm and 12cm long. (answered by vleith)

A triangle ABC, where |AB| = |AC|, a line CD is drawn from angle C and intersects side AB (answered by CPhill,greenestamps,ikleyn,math_tutor2020)

A rectancle JKLM is inscribed in an another rectangle ABCD such that the vertices J,K,L... (answered by venugopalramana)

a rhombus ABCD of side 4 cm and diagonal 5 cm is constructed.measure angle ABC.find the... (answered by Edwin McCravy)