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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.

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Q: Does a diagonal divide a square into two isoceles right angles?
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Related questions

A square has diagonals that are?

the squares diagonal are all congruent to each other, and the diagonals make 4 isoceles triangles.


Do the diagonals of a rhombus bisect its opposite angles?

Yes. In a rhombus (and in a square), the opposite angles that each diagonal connects are bisected by the diagonal.


How is the length of a diagonal of a square found?

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.


How do you find the side of a square if you know its diagonal?

Divide the length of the diagonal of a square by 1.4142 (which is the square root of 2) to find the length of a side. Similarly, to find the length of the diagonal of a square, multiply the length of a side by 1.4142.


What is the diagonal of a 20ft x 20ft square?

Since a square has right angles, you can use the Pythagorean Theorem to calculate the diagonal. Specifically, the diagonal of a square is equal to the length of a side, multiplied by the square root of 2.


Which figure does a diagonal always form a angle bisector a rectangle a trapezoid a square or a quadrilateral?

A diagonal always forms an angle bisector in a square. In a rectangle, trapezoid, or any other quadrilateral, a diagonal does not always bisect the angles.


Diagonal of a square?

A square has 2 diagonals that are equal in length and bisect each other at right angles.


What is the diaganal of a square?

May not be the answer you are looking for, but, since the square is composed of right angles, the diagonal is equivalent to the hypotenuse.


What quadrilateral cannot have no right angles but its diagonal lines bisect each other?

isn't it a rhombus ? the ones that are like a slanted square ? because there are no right angles but each diagonal bisects the corners.


How do you find the body diagonal of a cube if you already have the face diagonal?

First square the face diagonal Then multiply the result by 3 Next divide that by 2 And finally take the positive root to get the body diagonal


When you know the sum of lengths of diagonal of a square how to find each diagonal?

To find the length of each diagonal of a square, divide the sum of the diagonal lengths by 2. Since a square has two diagonals of equal length, this division will give you the length of each diagonal.


Does each diagonal of a rectangle always bisect a pair of opposite angles?

No. In general it does not. Only if the rectangle is, in fact, a square.