Yes 2 congruent right angle isosceles triangles joined together will make a square
Place the two large triangles next to each other so that their hypotenuses together make the long parallel side of the trapezoid. Place the medium triangle between the two large triangles with its hypotenuse along the edge of one of the large triangles. Place one of the small triangles between the medium triangle and the other large triangle with its hypotenuse along the edge of the medium triangle Place the square between the large triangle and the small triangle so that its edges are along side the small triangle and the large triangle. Finally place the parallelogram between the square and the medium triangle (toughing both) to finish the isosceles trapezoid. The seventh piece,. the final small triangle, which is not used, can be placed on top of the parallelogram (with its hypotenuse touching) to create a large triangle,. An Isosceles trapezoid can also be formed from all 7 pieces - take the large square formed by all the pieces except the two large triangles (as above if the large triangle is completed), and put the two large triangles on opposite sides to complete the isosceles trapezoid.
90 degrees. This is an isosceles right triangle, standing on its hypotenuse.
Isosceles triangles are not always equal. Some are large some are small, some have two long sides that are equal, and some have two short sides that are equal. Every isosceles triangle has two sides that are of equal length; that is what makes it isosceles.
I have never heard this theory but anything is possible.
No but the sum of the squared sides will equal the square of the hypotenuse using Pythagoras' theorem for a right angle triangle
The tangram consists of 7 shapes: -2 large right & isosceles triangles, each covering 1/4 of the total occupied space -1 smaller right & isosceles triangle, taking up 1/8 of the total space -2 even smaller right & isosceles triangles, each occupying 1/16 of the whole area -A square using up 1/8 of total space -A parallelogram with angles 45° and 135° taking up 1/8 of space basically 5 triangles, 1 square, 1 parallelogram.
You take one of the large triangles and then put the square on the side of the triangle on the top towards the verticy. Then put the smaller triangle under the square and put the parallelogram under that so it all lines up.
All you have to use is the five triangles. The two large triangles make a square in the middle, the two small triangles make a large triangle on one side and the middle triangle on the other side.
2 small triangles 1 med. triangle 2 large triangles 1 parallelogram and a square
have 2 triangles put together to form a square, the medium triangle will go on top of the square, like a roof to a house....
Minimum is when the figure is a square, in this case the perimeters 4 times the square root of 48. There is no maximum, i.e., you can make the perimeter as large as you like.
The reason of the lack of the hole caused by the difference is too small and we can not recognise by optical view, it can be proved by the fomular as below: Assume that the square of one cell is 1 The first picture Total square of the largest triangle equals (8*13)*1/2=32.5 The square of retangle equals = 3*5 = 15 The square of small striangle equals = (5*2)*1/2=5 The square of large striangle equals = (8*3)*1/2=12 => the squares of 2 small triangle do not equal 17 (5+12) => the difference between 17 and 32.5-15=17.5 is so small => we can not recognise by eyes => one of the triangle or both of them are not triangle, it may be a trapezium The reason of the lack of the hole caused by the difference is too small and we can not recognise by optical view, it can be proved by the fomular as below: Assume that the square of one cell is 1 The first picture Total square of the largest triangle equals (8*13)*1/2=32.5 The square of retangle equals = 3*5 = 15 The square of small striangle equals = (5*2)*1/2=5 The square of large striangle equals = (8*3)*1/2=12 => the squares of 2 small triangle do not equal 17 (5+12) => the difference between 17 and 32.5-15=17.5 is so small => we can not recognise by eyes => one of the triangle or both of them are not triangle, it may be a trapezium