Lines In The Square

Geometry Level 5

Find the sums of the length of P C ‾ \overline{PC} and the area of the square A B C D ABCD containing a point P P such that P A = 3 PA = 3 , P B = 7 PB =7 , and P D = 5 PD=5 .

Given the answers to 4 decimal places.


The answer is 66.0623.

Watsapol Kerdlarppol by Watsapol Kerdlarppol , 22, Thailand

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

Ahmad Saad
Mar 13, 2017

3 Helpful 0 Interesting 0 Brilliant 0 Confused

In the second line of your solution, how did you get s i n θ = a 2 + 9 − 49 6 a sin\theta = \frac{a^2 + 9 - 49}{6a}

A Former Brilliant Member - 4 years, 2 months ago

Log in to reply

<BAP = 90 - θ ---> cos(BAP) = sinθ

Using cosine law for Tr.BAP

7^2 = a^2 + 3^2 - 2 3 a cos(BAP) = a^2 + 9 - 6a*sinθ

sinθ = [ a^2 + 9 - 49 ] / 6a

Ahmad Saad - 4 years, 2 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...