Right Triangles And Theorems Essay

577 words - 3 pages

RIGHT TRIANGLES
Right triangles are triangles in which one of the interior angles is 90o. A 90o angle is called a right angle. Right triangles are sometimes called right-angled triangles. The other two interior angles are complementary, i.e. their sum equals 90o. Right triangles have special properties which make it easier to conceptualize and calculate their parameters in many cases.
The side opposite of the right angle is called the hypotenuse. The sides adjacent to the right angle are the legs. When using the Pythagorean Theorem, the hypotenuse or its length is often labelled with a lower case c. The legs (or their lengths) are often labelled a or b.

Either of the legs can be considered a base and the other leg would be considered the height ...view middle of the document...

The converse of the Pythagorean theorem
If in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides , then the triangle is a right triangle and the right angle is opposite the longest side.

The median theorem
The median to the hypotenuse of a right triangle is one-half as long as the hypotenuse
.
The median theorem
The median to the hypotenuse of a right triangle is one-half as long as the hypotenuse
.
Pythagorean Theorem
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
Pythagorean Theorem
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
The 30-60-90 triangle theorem
In a 30-60-90 triangle, the side opposite the 30 angle is half as long as the hypotenuse and the side opposite the 60 angle is 3 times as long as the opposite the 30 angle.
The 30-60-90 triangle theorem
In a 30-60-90 triangle, the side opposite the 30 angle is half as long as the hypotenuse and the side opposite the 60 angle is 3 times as long as the opposite the 30 angle.
The Isosceles Right Triangles Theorem
In an isosceles right triangle, the hypotenuse is √2 times as long as either of the legs.
The Isosceles Right Triangles Theorem
In an isosceles right triangle, the hypotenuse is √2 times as long as either of the legs.

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