length of the yellow line

Geometry Level 3

Four squares of respective side lengths 4, 9,15, and 21 are arranged as shown. Find the length of the yellow line. If your answer can be expressed as a 7 + b 7 c \frac{a}{7}+\frac{b}{7}\sqrt{c} , where c c is square free, give a + b + c . a+b+c.

Note: Neglect the thickness of the lines.


The answer is 751.

A Former Brilliant Member by A Former Brilliant Member

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

Akshay Krishna
Nov 15, 2018

You can use cartesian plane to solve this.(I guess you know what to do now) It would be fun if there's another way(which there is, so do comment).

1 Helpful 1 Interesting 2 Brilliant 1 Confused

21+15+9+4=49 @ height is 21 Hypotenuse²=base²+Height² =441+2401=2842 Hypotenuse=53.31

Mayur Aglawe - 2 years, 2 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...