The diagram consists of a rectangle ABCD and a triangle DXY so that X and Y are points on the line segments AB and BC respectively and angle DXY=90.
Show that DA/XB =AX/BY =XD/YX
Thanks guys.
Hello, hongvo!
The diagram consists of a rectangle and a triangle
with and on and , resp. and
Show that: .Code:X A o - - - - o - - - - - - - - - o B | β * * α | | * 90° * | | * * | | * * β | | * o Y | * | |α * | | * | |* | D o - - - - - - - - - - - - - - o C
And we have: .
Hence: .
Therefore: .
Hello, imcnalty!
Who is "sophie"?
c. Another sophie diagram has: .
Find the lengths of the sides ofCode:15 X 48 A o - - - - o - - - - - - - - - o B | * * | | * 90° * | b | * * | a | * * β | | * o Y | * | |α * | 16 | * | |* | D o - - - - - - - - - - - - - - o C 63
Draw
Let: .
Note that: . .[1]
In right triangle .[2]
In right triangle .[3]
In right triangle .[4]
In right triangle
Substitute [2], [3], [4]: .
Substitute [1]: .
. . . . . . . . . . .
Therefore: .