[Answer] In the square ABCD AE=3x+5 and BD=10x+2. What is the length of line AC?

Answer: Properties of Parallelograms Practice Fl…
In the square ABCD AE=3x+5 and BD=10x+2. What is the length of line AC?

A quadrilateral is a polygon in Euclidean plane geometry with four edges (sides) and four vertices (corners). Other names for quadrilateral include quadrangle (in analogy to triangle) tetragon (in analogy to pentagon 5 -sided polygon and hexagon 6-sided polygon) and 4-gon (in analogy to k-gons for arbitrary values of k).A quadrilateral with vertices and is sometimes denoted as .

Cyclic quadrilateral – Wikipedia

Angle bisector theorem – Wikipedia

Cyclic quadrilateral – Wikipedia

Sun Aug 07 2005 14:30:00 GMT-0400 (Eastern Daylight Time) · Theorem. Consider a triangle ABC.Let the angle bisector of angle A intersect side BC at a point D between B and C.The angle bisector theorem states that the ratio of the length of the line segment BD to the length of segment CD is equal to the ratio of the length of side AB to the length of side AC : | | | | = | | | | and conversely if a point D on the side BC of triangle ABC divides BC in …

Sun Mar 09 2003 13:30:00 GMT-0500 (Eastern Standard Time) · Special cases. Any square rectangle isosceles trapezoid or antiparallelogram is cyclic. A kite is cyclic if and only if it has two right angles. A bicentric quadrilateral is a cyclic quadrilateral that is also tangential and an ex-bicentric quadrilateral is a cyclic quadrilateral that is also ex-tangential.A harmonic quadrilateral is a cyclic quadrilateral in which the product of the …

Denote the segments that the diagonal intersection P divides diagonal AC into as AP = p 1 and PC = p 2 and similarly P divides diagonal BD into segments BP = q 1 and PD = q 2 . Then the quadrilateral is tangential if and only if any one of the following equalities are true: [30]

Consider a triangle with sides of length a b c where θ is the measurement of the angle opposite the side of length c.This triangle can be placed on the Cartesian coord…

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