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Q: A diagonal divides a square into two isosceles right triangles?

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A bisector - or diagonal

As a square has right angles, the diagonal forms a right triangle with two of the sides of the square. Therefore use Pythagoras: diagonal² = side² + side² → diagonal² = 2side² → diagonal = side × √2 Therefore to find the length of the diagonal of a square, multiply the side length of a square by the square root of 2.

The side lengths of a square with a diagonal of 16 is: 11.31.

The square's diagonal is 11.314 cm

The diagonal is ~16.97 units.

Related questions

The diagonals of a square for example divides it into 4 isosceles triangles

Isosceles

Isosceles

Yes, since all the sides of a square are equal and the definition of an isosceles triangle is to have at least two congruent sides. The congruent triangles formed are 45-45-90 triangles, so the diagonal will be the longest side with the right angle formed where the two sides of the square meet.

they have at least one right angle. A square is the union of two isosceles right triangles. The hypotenuse of each triangle is the diagonal of the square.

no but the diagonal divides the square into two equilateral triangles. An equilateral triangle is a triangle that has two sides of the same length

Yes. An isosceles triangle has two angles the same. Dividing a square into two across one diagonal produces two isosceles triangles with a right-angle at the third corner.

Two right angle triangles, normally scalene triangles. However, if the rectangle is for example a square, then it would be two isosceles triangles.

NOT POSSIBLEIt is not possible to put 20 isosceles triangles into the form of a square. It takes 2 isosceles triangles to make one square. 6 more isosceles triangles would have to be added before a larger square could be made.For an isosceles triangle with leg length x, the number of triangles needed to make a square is modeled by the equationN = 2 * x2where N is the number of triangles and x is the number of isosceles triangles touching any side of the square.There is no integer solution for x when N = 20, meaning it is not possible to arrange 20 isosceles triangles in the shape of a square.

A square.

isosceles triangles

Parallelograms of any form, a square, a rectangle, and a rhombus are just special parallelograms so all will form 2 pairs of isosceles triangles when a diagonal is drawn.

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