Similar to triangle, the area of a right triangle is calculated by multiplying the base and height and dividing the result by two, and the perimeter is calculated by adding the length of all three sides. One of the most fundamental and useful tools for working with right triangles is the Pythagorean theorem.
They have some unique properties that make them important in mathematics and real-world applications. Right triangles are triangles with one angle measuring 90 degrees, also known as a right angle. Length of Diagonals: d 1 = 2asin(θ/2) and d 2 = 2acos(θ/2) (where a is the length of one side and θ is the measure of one angle).Perimeter: P = 4s (where s is the length of one side).Area: A = (d 1 x d 2)/2 (where d 1 and d 2 are the lengths of the diagonals).This means that each diagonal divides the rhombus into two congruent right triangles, which can be used to find the length of the diagonals. The diagonals of a rhombus are perpendicular bisectors of each other, meaning they intersect at a 90-degree angle and bisect each other.
The perimeter is calculated by adding the length of all four sides. The area of a rhombus is calculated by multiplying the length of one diagonal by the length of the other diagonal, and dividing the result by two. Perimeter: P = a + b + c + d (where a and b are the lengths of the parallel sides, and c and d are the lengths of the non-parallel sides)Ī rhombus is a quadrilateral with all sides equal in length.Area: A = (a + b)h/2 (where a and b are the lengths of the parallel sides and h is the height).The area of a trapezoid is calculated by multiplying the average of the parallel sides (also known as the median) by the height, and the perimeter is calculated by adding the length of all four sides. Diagonal of a Parallelogram: d = √(a 2 + b 2 + 2abcos(θ)) (where a and b are the lengths of adjacent sides and θ is the angle between them)Ī trapezoid is a quadrilateral with one pair of parallel sides.Perimeter: P = 2(a + b) (where a and b are the lengths of adjacent sides).Area: A = bh (where b is the base and h is the height).The diagonals of a parallelogram can be calculated using the Pythagorean theorem. The area of a parallelogram is calculated by multiplying the base and height, and the perimeter is calculated by adding the length of all four sides. The sum of the interior angles of a quadrilateral is always 360 degrees.Ī parallelogram is a four-sided polygon with opposite sides parallel to each other. Circumference: C = 2πr (where r is the radius) or C = πd (where d is the diameter)Ī quadrilateral is a geometric shape that has four sides and four angles.The area of a circle is calculated by multiplying pi (π) by the radius squared, and the circumference (perimeter) is calculated by multiplying the diameter by pi. Perimeter: P = a + b + c (where a, b, and c are the lengths of the three sides)Ī circle is a two-dimensional shape consisting of points that are equidistant from a center point.Area: A = 1/2bh (where b is the base and h is the height).The area of a triangle is calculated by multiplying the base and height and dividing the result by two, and the perimeter is calculated by adding the length of all three sides. Diagonal: d = √(l 2 + w 2), where l is the length and w is the widthĪ triangle is a three-sided polygon.The length of a diagonal can be calculated using the Pythagorean theorem. The diagonals of a rectangle are the lines that connect opposite vertices. The area of a rectangle is calculated by multiplying the length and width, and the perimeter is calculated by adding the length of all four sides. Diagonal: d = s√2, where s is the length of one sideĪ rectangle is a four-sided polygon with opposite sides equal in length and all angles equal to 90 degrees.The diagonals of a square are lines that connect opposite vertices. The area of a square is calculated by multiplying the length of one side by itself, and the perimeter is calculated by adding the length of all four sides. They also learn about triangles, quadrilaterals, and circles.Ī square is a four-sided polygon with all sides equal in length and all angles equal to 90 degrees. In class 9, students learn about basic geometric shapes such as points, lines, angles, and planes. Geometry is all about shapes and their properties.
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