Trapezoid equation
Why is the formula for the area of a trapezoid?
Dissecting the trapezoid The two parallel sides are the bases, and height, as always, is the perpendicular distance from one base to the opposite. The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2).
How do you find the missing side of a trapezoid?
Solve for H. To do this, multiply each side by H, then divide each side by the angle sine. Or, you can simply divide the height of the triangle by the angle sine. So, the length of the hypotenuse, and the first missing side of the trapezoid, is about 10.4566 cm.
What is the formula for finding the height of a trapezoid?
Write A=h(b1+b2)/2, where A represents the trapezoid’s area, b1 represents one of the base lengths, b2 represents the other base length and h represents the height. Rearrange the equation to get h alone. Multiply both sides of the equation by 2 to get. 2A=h(b1+b2).
Why is the area of a trapezoid 1 2h b1 b2?
The two parallel sides of a trapezoid are its bases. If we call the longer side b1 and the shorter side b2, then the base of the parallelogram is b1 + b2. Area of a trapezoid = 1 2 (base 1 + base 2)(height). A = 1 2 h(b1 + b2) The area of a trapezoid is half its height multiplied by the sum of its two bases.
What is a trapezoid look like?
A trapezoid is a four-sided flat shape with one pair of opposite parallel sides. It looks like a triangle that had its top sliced off parallel to the bottom. Usually, the trapezoid will be sitting with the longest side down, and you will have two sloping sides for the edges.
What does trapezoid mean?
1a : a quadrilateral having only two sides parallel. b British : trapezium sense 1a. 2 : a bone in the wrist at the base of the metacarpal of the index finger.
How do you find the missing side lengths?
Given that the hypotenuse of a right triangle is and one side is , find the other side length. Explanation: To find the length of the missing side, you can either use the pythagorean theorm or realize this is a case of a special right triangle with sides . Thus, the other side length is .
How do you find area?
To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
How do you find the height of a trapezoid without knowing the area?
Explanation: To solve this question, you must divide the trapezoid into a rectangle and two right triangles. Using the Pythagorean Theorem, you would calculate the height of the triangle which is 4. The dimensions of the rectangle are 5 and 4, hence the area will be 20.
What’s the equation for a triangle?
Equilateral Triangle
Equilateral Triangle | |
---|---|
A triangle with all three sides of equal length. a = b = c. A = B = C = Pi/3 radians = 60^{o} | |
P = 3a s = 3a/2 K = a^{2}sqrt(3)/4 h_{a} = m_{a} = t_{a} = a sqrt(3)/2 R = a sqrt(3)/3 r = a sqrt(3)/6 |
What formula is a 1 2h b1 b2?
The formula for the area of a trapezoid is A=1/2h(b1+b2) express b1 in terms of A, h and b2. lol225 is waiting for your help.