n*(n-3)/2 where n- no. of sides
The diameter of a rectangle is the same as its diagonal (angle in a semicircle is a right angle). So the diagonal forms a right angled triangle with the diagonal as the hypotenuse and two sides of the rectangle (a length and a breadth) forming the legs of the triangle. If the lengths of the sides of the rectangle are known, a simple application of Pythagoras's theorem given the measure of the diagonal.
A square, a rhombus or s kite would fit the given description
The answer depends on what information you do have about the rhombus. Assuming that you know the length of the sides and one of the diagonals, then,In the triangle formed by the given diagonal and the sides of the rhombus, you know all three sides. So you can use the cosine rule to calculate the angle between the sides of the rhombus.The other pair of angles in the rhombus are its supplement.So now you know two sides and the included angle of the triangle formed by the missing diagonal and the sides of the rhombus.You can use the cosine rule again to find the missing diagonal.
Not necessarily. If the sides are a multiple of sqrt(2) units, then the diagonal is rational.
The height and longer diagonal do not provide enough information to calculate the sides.
There are 4
4 sides and 1 diagonal is given. 3 sides and 2 diagonals are given. 3 angles and measurement of two adjacent angles are given. 3 sides and 2 included angles are given. 4 sides and 1 angle is given.
n*(n-3)/2 where n- no. of sides
With four sides given a quadrilateral is not clear defined. Infinite are possible. You need the length of one diagonal in addition to figure out the area.
The diameter of a rectangle is the same as its diagonal (angle in a semicircle is a right angle). So the diagonal forms a right angled triangle with the diagonal as the hypotenuse and two sides of the rectangle (a length and a breadth) forming the legs of the triangle. If the lengths of the sides of the rectangle are known, a simple application of Pythagoras's theorem given the measure of the diagonal.
A square, a rhombus or s kite would fit the given description
Use the Pythagorean theorem, which is a2+b2=c2.
A diagonal cannot be a side of a rectangle, and a side cannot be a diagonal.
A parallelogram is anything from a square to a rectangle. As long as it has parallel sides, then it is a parallelogram. If you're thinking of a rhombus, then it has diagonal sides.
The formula is: 0.5*(n^2 -3n) = number of diagonal lines whereas 'n' is the number of sides of the polygon
0.5*(n2-3n) where n equals the number of sides of the polygon