geometry - Isosceles trapezoid - Mathematics Stack Exchange
Since your trapezoid is isosceles, the two lower angles are the same. Therefore, the two diagonals are equal because the lower triangle each creates when dividing the trapezoid are congruent (by SAS).
Height of an isosceles trapezoid - Mathematics Stack Exchange
2018年8月24日 · Suppose we have an isosceles trapezoid whose length of the associated square is $20$ and the length of the hypotenuse of the triangles is $30$. I want to determine if it is possible to find the height of the triangles, I think no.
Defining an Isosceles Trapezoid - Mathematics Stack Exchange
2024年7月1日 · This inclusive definition allows for an asymmetrical Isosceles Trapezoid. It seems like added exclusivity that isn't widespread. Actually, for completeness, please do cite a source of the above definition (Definition A) , which disagrees with these three equivalent definitions ( Definitions B ) —the first from Wolfram MathWorld and the rest ...
geometry - Isosceles trapezoid with inscribed circle - Mathematics ...
2015年4月14日 · The area an isosceles trapezoid is equal to $S$, and the height is equal to the half of one of the non-parallel sides.
geometry - Find the area of an isosceles trapezoid $ABCD$ $ (AB ...
2021年6月1日 · In isosceles trapezoid the median cuts diagonals at P and Q find the perimeter of the trapezoid. 3 ...
How to bisect an isosceles trapezoid into two equal area parts
2016年7月30日 · Given an isosceles trapezoid: I want to draw a line parallel to the bases (that is, parallel to and in between AD and BC) such that the top half and the bottom half both have equal area. Specifically, if we define the height of the trapezoid as 1, I want to know how far from the longer base this bisector will fall. Let's call this value m.
Show that a trapezoid is cyclic if and only if it is isosceles
2020年12月31日 · Every isosceles trapezoid has an inscribed circle. 4. Cyclic quadrilateral and trapezoid. 1.
Isosceles trapezoid with semicircle - Mathematics Stack Exchange
Assuming that the base of the circle lies along the longest base, here is a way to find the length of the shorter base (which along with the length of the longer base, 14, and the height of the trapezoid, 6, readily yields its area):
geometry - Inscribed kissing circles in an isosceles trapezoid ...
2011年6月6日 · $\begingroup$ In reference to stuart's drawing: Note that the height of the (inner) trapezoid, the top of it and the two non parallel sides are all equal to the diameter of the a circle (2r), and the longest side is two times the diameter of a circle. The area comprised of sectors of circles inside the smaller trapezoid total 3/2 time the area ...
geometry - Every isosceles trapezoid has an inscribed circle ...
2018年2月15日 · $\begingroup$ Not every isosceles trapezium has an inscribed circle, but they all have a circumscribed circle. $\endgroup$ – Angina Seng Commented Feb 15, 2018 at 19:17