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27 Ιουλ 2024 · The trapezoid calculator is here to give you all the information about your trapezoid shape – the sides, height, angles, area, and perimeter. Trapezoid Calculator Board
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10 Ιουλ 2024 · Our trapezoid angle calculator is a convenient tool that lets you calculate the different angles between the sides of the trapezoid. You may input the value of any angle and obtain the value of its supplementary partner.
To calculate the angles of a trapezoid, we use the following formula: tan A = 2 h a − b. Where: A is the bottom angle. h is the height of the trapezoid. a is the length of the bottom base. b is the length of the top base. Once we calculate angle A, we can find angle C (the top angle) by subtracting A from 180°: C = 180 ° − A.
Property #1) The angles on the same side of a leg are called adjacent angles and are supplementary; Property #2) Area of a Trapezoid = $$ Area = height \cdot \left( \frac{ \text{sum bases} }{ 2 } \right) $$ Property #3) Trapezoids have a midsegment which connects the mipoints of the legs
What is the area of the trapezoid? Going by the diagram, we shall label the 4 sides as: a = 55 b = 15 c = 30 d = 20. Before we can use the area formula, we first have to determine the height of the trapezoid. (height) 2 = (a+b-c+d) • (-a+b+c+d) • (a-b-c+d) • (a+b-c-d) ÷ (4 • (a -c) 2)
Input the Angles: If known, enter the values for the angles (α, β, γ, δ) at the vertices of the trapezoid. Calculate Height: If the height (h) is not known, it will be automatically calculated based on the provided base and leg lengths.
Median of a Trapezoid. The median (also called a midline or midsegment) is a line segment half-way between the two bases. The median's length is the average of the two base lengths: m = a+b 2. You can calculate the area when you know the median, it is just the median times the height: Area = mh.
