In the convex pentagon ABCDE, ∠B=∠E, ∠C=∠D, BC=DE, MC=MD. Prove AM⊥CD.相关知识点: 试题来源: 解析 Extend ABAE such that they intersect the line CD at F,G respectively. Since ∠FBC=∠GED, ∠FCB=∠GDE, BC=DE, we have △BCF≌△DEG, implying ∠F=∠G and FC=GD, ...
In the pentagon ABCDE, angle A= 110^(@), angle B= 140^(@) and angle D= angle E. The sides AB and DC, when produced, meet at right angle. Calculate angles BCD
A sandpi in the shape of a pentagon ABCDE is to bebuil in such a way that each of its sides are of equal lengthbut its angles are not all equal.The pentagon is symmetrical about DX, where X is themidpoint of AB.The angle AXE and BXC are both 45" and each sideis 2 m long.Fi...
In pentagon ABCDE with ∠B ∠D ∠E, find the measure of interior angle D in degrees.A81°81EmzD= 相关知识点: 试题来源: 解析 salotionwu know thatS_(ameOf)_ntefan a_ng(e_n10c(n∈N^2)81+81+3LD=5403LD=540-1623LD=378∠D=(378)/3 D=126° ...
Let ABCDE be a pentagon inscribed in a circle such that AB=CD=3, BC=DE=10 and AE=14. The sum of the lengths of all diagonals of ABCDE is equal to mn, where m and n are relatively prime positive integers. What is m n?( ) A. 129 B. 247 C. 353 D. 391 E. 421 相关知识...
Given circle ABC with center D BD ⟂ ADC DE = EC and EF = BE Prove CD is the side of a regular inscribed hexagon DF is the side of a regular inscribed decagon BF is the side of a regular inscribed pentagon StatementsReasons
In ΔABC, if D is the midpoint of BC then prove that ¯¯¯¯¯¯AD=¯¯¯¯¯¯AB+¯¯¯¯¯¯AC2 04:44View Solution ABCDE is a pentagon then ¯¯¯¯¯¯AB+¯¯¯¯¯¯AE+¯¯¯¯¯¯BC+¯¯¯¯¯¯DC+¯...
2628/55. Class 29 [Also in Group XXIX] A cooling liquid comprises a mixture of ethylene glycol, formamide, and water, having a composition falling within the pentagon ABCDE on the triangular graph. The composition is identical to that obtainable by mixing an aqueous ethylene glycol solution ...
The result is immediate. Remember that spiral similarities always come in pairs: if there is a spiral similarity that carries AB to CD, then there is one that carries AC to BD. Related problems: (i) (IMO Shortlist 2006) Let ABCDE be a convex pentagon such that ∠BAC = ∠CAD = ∠...
To solve the problem, we need to find angles A and B in the cyclic quadrilateral PQRS, given that angle PQR = 135° and the ratio of angles A to B is 2:1.1. Identify the Given Information: - Angle PQR = 135° - The ratio