Sick square 2

Geometry Level 1

Each side of the square ABCD has length 1. With angle PAQ given, find the Perimeter of the triangle QPC.


The answer is 2.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Ajay Sambhriya
Apr 16, 2018

Angle BAP = Angle DAQ'

Also

Angle DAQ= Angle B'AP'

and angle

DAQ + PAB = B'AP' + DAQ' = 45

so angle Q'AQ = 45

Triangle Q'AQ is congruent to triangle AQP and AQ'P'

length QQ' = PQ

and PC = C'Q'

perimeter triangle QPC= C'C = 2

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...