Thread: Inscribed square in triangle

Good night. I have a geometry problem that's been plaguing me for years. Any hints you all can give would be greatly appreciated.

PQR is a right-angled triangle with PR=3cm and QR=4cm. The square STVU is inscribed in the triangle PQR. What is the length, in cm, of the side of the square?

All your help is much appreciated.

Hello I-Think

Originally Posted by I-Think

Good night. I have a geometry problem that's been plaguing me for years. Any hints you all can give would be greatly appreciated.

PQR is a right-angled triangle with PR=3cm and QR=4cm. The square STVU is inscribed in the triangle PQR. What is the length, in cm, of the side of the square?

All your help is much appreciated.

All the triangles are similar: 3-4-5.

If cm, then cm. So from cm.

And from cm.

So, since cm:







Grandad

Merci beaucoup. To think it had such a simple solution.