Rectangle Problem

Thanks for visiting NZMaths.
We are preparing to close this site by the end of August 2024. Maths content is still being migrated onto Tāhūrangi, and we will be progressively making enhancements to Tāhūrangi to improve the findability and presentation of content.
 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

Jenny drew the rectangle ABCD below that has one side of length 10 and the other 10√3.

She then drew in the line PQ to make a rectangle with C and B.

If the ratios AB : BC and BC : QC are equal, what is the length of BQ?

Solution