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45-45-90 Triangles: Geometry—Triangles

Submitted by Anonymous on
Item number
75080
Description
In this video we'll learn about the special things that happen in the specific instance of a 45-45-90 triangle, which is a triangle whose three interior angles are 45 degrees, 45 degrees, and 90 degrees. This triangle, by definition, is an isosceles triangle, and it's one half of a square, split on the square's diagonal.

Pythagorean Theorem: Geometry—Triangles

Submitted by Anonymous on
Item number
75077
Description
In this video we'll learn how to use the pythagorean theorem, which is a theorem that applies only to right-triangles (triangles that include a 90-degree angle). The pythagorean theorem tells us that the sum of the squares of the lengths of the legs is equal to the sum of the length of the hypotenuse (the longest side).

Area of a Trapezoid: Geometry—Quadrilaterals

Submitted by Anonymous on
Item number
75075
Description
In this video we'll learn how to find the area of a trapezoid, which is just a quadrilateral in which two of the opposite sides are parallel, and the other two opposite sides are not parallel. To find the area, we'll take the average length of the two parallel sides (the bases), and multiply by the height of the trapezoid.

Area of a Parallelograms: Geometry—Quadrilaterals

Submitted by Anonymous on
Item number
75074
Description
In this video we'll learn how to find the area of a parallelogram, which is a quadrilateral (a four-sided figure), in which opposite sides are parallel. A rectangle is a parallelogram that has four 90-degree interior angles. Since the triangles on each end of the parallelogram can be moved to the same side, turning the parallelogram into a rectangle, we'll use the same formula to find the area of the parallelogram as we would to find the area of a rectangle.