The Student Room Group

Geometry Question

The diagram shows a rectangle ABCD inscribed inside a triangle PQR. The side, AB, of the rectangle is one third of the perpendicular height of the triangle from P to QR. What is the ratio of the area of the rectangle to the area of the triangle?

Can someone help with this? The diagram can be found here: https://ibb.co/MG6vjKv
@juliannan
What a coincidence, I've found a geometry question for you:smile:
Original post by Anonymous49816
The diagram shows a rectangle ABCD inscribed inside a triangle PQR. The side, AB, of the rectangle is one third of the perpendicular height of the triangle from P to QR. What is the ratio of the area of the rectangle to the area of the triangle?

Can someone help with this? The diagram can be found here: https://ibb.co/MG6vjKv

Do you have any ideas?
Original post by Anonymous49816
The diagram shows a rectangle ABCD inscribed inside a triangle PQR. The side, AB, of the rectangle is one third of the perpendicular height of the triangle from P to QR. What is the ratio of the area of the rectangle to the area of the triangle?

Can someone help with this? The diagram can be found here: https://ibb.co/MG6vjKv

i need a diagram but i can not get on it
so i can not help at this moment
Reply 4
Original post by juliannan
i need a diagram but i can not get on it
so i can not help at this moment

The diagram should appear when you click on the link in the 1st post...
Reply 5
Original post by Anonymous49816
The diagram shows a rectangle ABCD inscribed inside a triangle PQR. The side, AB, of the rectangle is one third of the perpendicular height of the triangle from P to QR. What is the ratio of the area of the rectangle to the area of the triangle?

Can someone help with this? The diagram can be found here: https://ibb.co/MG6vjKv

If the base of the triangle is b and h is the perpendicular height,
* What is the area of the triangle?
* What is the area of the rectangle?
Then relate the two expressions through the bh expression.

Quick Reply

Latest