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What is the relationship between right triangles and the areas of squares?

A right angle triangle with two side lengths that match that of an equivalent square will have exactly half the area of the square.


Who discovered the relationship between the sides of a right triangle?

Pythagorus


Is a triangle always half a square?

No, a triangle is not always half a square. While a right triangle can be considered half of a rectangle (which is a type of square), this is not true for all triangles. Triangles can have various shapes and sizes, independent of squares. Therefore, the relationship between triangles and squares is not universally applicable.


What is the relationship between the hypotenuse and a right angle?

The hypotenuse is the side opposite to the right angle in the triangle.


What describes the relationship between the lengths of the legs and the hypotenuse in a right triangle?

The square of the two legs is equal to the square of the hypotenuse. a2+b2 = c2 where a and b are the legs and c being the hypotenuse


How is a square and triangle different?

square has 4 right angles and triangle has no right angles


How is a triangle related to a square?

A right triangle is half of a square


What is the relationship between the 2 acute angles in a right angle triangle?

They total 90o


Who was the first person to notice the relationship between legs and hypotunice of a right triangle?

Pythagoras


How do you do Euclid's ladder?

Euclid's ladder is a method for constructing a right triangle using a geometric approach. Start by drawing a square and extending its sides to form a right triangle with legs equal to the side of the square. Then, repeatedly construct similar triangles, using the hypotenuse of the previous triangle as the base for the next. This process illustrates the relationship between the sides of right triangles and can be used to explore concepts in geometry and the Pythagorean theorem.


What kind of triangle is in this square?

right angle triangle


What shapes contain a right angle?

* Right triangle * square * rectangleA Right triangle, a parallelogram, a rectangle, a rhombus, a square and a diamond.