top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

What are the dimensions of this triangle?

0 votes
135 views

We want to find the smallest, right-angled triangle for which holds:

The lengths of the sides are whole numbers.
The circumference is the square of a whole number.
The area is a whole number to the power of three.

To help you a bit: the length of the hypotenuse is 240.

What are the dimensions of this triangle?

posted Jun 30, 2014 by Anuradha Tabyal

Looking for solution? Promote on:
Facebook Share Button Twitter Share Button LinkedIn Share Button




Similar Puzzles
0 votes

What are the dimensions of rectangle A6 in the following image?

enter image description here

Assumptions
1. A sheet of A0 paper is a rectangle with an area of precisely one square meter. Its length (the long side) is twice its width.
2. When A0 paper is cut in half across its long side, two sheets of A1 paper are formed. Likewise, when A1 paper is cut in half across its long side, A2 paper is formed, and so on.
3. All rectangles in the series (A0, A1, A2, ...) are similar.

+1 vote

What should be the ratio of the dimensions of a rectangle such that when you take off of it a largest possible square you end up with a rectangle with the same aspect ratio as that of the original ?

0 votes

I tiled 9 squares of sides 1, 4, 7, 8, 9, 10, 14, 15,18 to form a rectangle. What are the dimensions of this rectangle?
what are the dimensions of rectangle

0 votes

There is a box. The area of its top is 240 square units, the area of the front is 300 square units and the area of the end is 180 square units.

Can you calculate the dimensions of this box with the given data?

...