First find its height and then use Pythagoras to find its equal sides:-
Area: 0.5*(sum of parallel sides)*height = 183.96
Height: (2*183.96)/(10.33+20.33) = 12 cm
Each side will have a right angle with bases of 5 cm
Using Pythagoras each equal side lengths are 13 cm
Perimeter therefore is: 13+13+10.33+20.33 = 56.66 cm
No, the hyperbolic parallel postulate is not one of Euclid's original five postulates. Euclid's fifth postulate, known as the parallel postulate, states that given a line and a point not on that line, there is exactly one line parallel to the original line that passes through the point. Hyperbolic geometry arises from modifying this postulate, allowing for multiple parallel lines through the given point, leading to a different set of geometric principles.
If it's a square, it's 20 metres (5m x 5m = 25 m2, 4 x 5m = 20m). If it's a rectangle that is 10 metres by 2.5 metres, then it's also 20 metres. But what if it's a rectangle that's 12.5 metres by 2 metres? It's 29 metres around. What if it's a rectangle that's 25 metres by 1 metre, which has a perimeter of 52 metres? How about a triangle that has an area of 25 square metres? What are its dimensions? What is its perimeter? Or a circle? Apologies for leading you down the path. It is only done in an attempt, however feeble, to get you to think through questions or problems. That is all. It's not sarcasm or anything aimed at characterization. It is a prayer to any and all to understand the concept and develop the skills associated with critical thinking. Only that.
It is waste of time
It is called leading.
Reinforcing a series of successive steps leading to the final response.
To prove that the base angles of an isosceles trapezoid are congruent, consider an isosceles trapezoid ( ABCD ) with ( AB \parallel CD ) and ( AD \cong BC ). By the properties of parallel lines, the angles ( \angle DAB ) and ( \angle ABC ) are consecutive interior angles formed by the transversal ( AD ) and ( BC ), respectively, thus ( \angle DAB + \angle ABC = 180^\circ ). Similarly, the angles ( \angle ADC ) and ( \angle BCD ) also sum to ( 180^\circ ). Since ( AD \cong BC ) and the trapezoid is isosceles, the two pairs of opposite angles must be equal, leading to ( \angle DAB \cong \angle ABC ) and ( \angle ADC \cong \angle BCD ), proving that the base angles ( \angle DAB ) and ( \angle ABC ) are congruent.
Let its other parallel side be x and then use Pythagoras to find its equal ends:- Area: 0.5*(26.6+x)*19.92 = 364.536 sq cm Other parallel side: x = (364.536*2)/19.92 -26.6 = 10 cm It will have 2 right ange triangles at each end with bases of 8.3 cm Using Pythagoras: 19.92squared+8.3square = 465.6964 its sq rt => 21.58 Its perimeter therefore is: 21.58+21.58+10+26.6 = 79.76 cm
A trapezium, also known as a trapezoid in some regions, is a four-sided polygon (quadrilateral) characterized by at least one pair of parallel sides. The parallel sides are referred to as the "bases," while the other two sides are called the "legs." The angles and lengths of the legs can vary, leading to different types of trapeziums, such as isosceles trapeziums, where the legs are of equal length. Trapeziums are commonly used in geometry and various applications in design and architecture.
Let the other parallel side be x and then use Pythagoras to find diagonal lengths: Area: 0.5*(25+x)*18 = 315 sq cm Other parallel side: x = (315*2)/18 -25 = 10 cm Two right angle triangles can be formed with bases of 17.5 and heights of 18 cm Using Pythagoras: 17.5square+18squared = 630.25 and its sq rt is 25 to nearest integer Therefore the diagonal lengths are: 25 cm to the nearest whole number
Forces which are parallel and acting in same direction are called like parallel forces. Forces which are parallel and acting in opposite direction are called unlike parallel forces.
Parallel beta sheets are less stable than anti-parallel beta sheets because of the weaker hydrogen bonding interactions between strands in parallel sheets. The alignment of hydrogen bond donors and acceptors in parallel beta sheets reduces the strength of hydrogen bonds, leading to lower stability. In anti-parallel beta sheets, the hydrogen bonds are more linear and therefore stronger, enhancing the overall stability of the structure.
No, the hyperbolic parallel postulate is not one of Euclid's original five postulates. Euclid's fifth postulate, known as the parallel postulate, states that given a line and a point not on that line, there is exactly one line parallel to the original line that passes through the point. Hyperbolic geometry arises from modifying this postulate, allowing for multiple parallel lines through the given point, leading to a different set of geometric principles.
To find the height of the rectangle, we can use the formula for the perimeter ( P ) of a rectangle, which is ( P = 2 \times (\text{base} + \text{height}) ). Given that the perimeter is 38 and the base is 7, we can set up the equation: ( 38 = 2 \times (7 + \text{height}) ). Simplifying gives ( 19 = 7 + \text{height} ), leading to ( \text{height} = 12 ). Thus, the height of the rectangle is 12.
An octagon can have both perpendicular and parallel lines, depending on its specific configuration. In a regular octagon, opposite sides are parallel, while the angles between adjacent sides can create perpendicular lines in certain contexts. However, in an irregular octagon, the arrangement of sides and angles can vary widely, leading to different relationships between lines.
The planet with an axis almost parallel to the ecliptic is Uranus. Its axis is tilted at about 98 degrees, causing it to essentially roll along its orbit around the Sun, leading to extreme seasons and unique day-night cycles.
The Sabine River, the 42nd parallel, and the 49th parallel were important factors in the Adams-Onis Treaty. The treaty defined the boundary between Spanish territory and the United States, leading to the acquisition of Florida by the United States.
A circuit with a capacitor and inductor in parallel has the characteristics of resonating at a specific frequency, allowing for energy storage and exchange between the two components. This type of circuit can exhibit high impedance at the resonant frequency, leading to unique filtering and tuning capabilities.