Given an acute triangle ABC, its median AM and its heights BH and CK. The line passes through A and perpendiculars with AM cuts BH and CK at D and E, respectively. Prove that \(\Delta DEM\)is an isosceles triangle.
Những câu hỏi liên quan
12 tháng 1 2022 lúc 19:26
Given a circle (O) and its diameter AB. C is a point on the circle which is different from A and B. H is the projection of C on AB. I is the midpoint of CH. The line passes through I and perpendiculars with OC cut (O) at 2 points D and E. Prove that \(\Delta CDH\)is an isosceles triangle.
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Nose this my is các anh chị giải dùm em với
too easy for me, teacher :)))
Xem thêm câu trả lời
1. Two bisector BD and CE of the triangle ABC intersect at O. Suppose that BD.CE 2BO.OC . Denote by H the point in BC such that .OH⊥BC . Prove that AB.AC 2HB.HC 2. Given a trapezoid ABCD with the based edges BC3cm , DA6cm ( AD//BC ). Then the length of the line EF ( Ein AB,Fin CD and EF // AD ) through the intersection point M of AC and BD is ............... ? 3. Let ABC be an equilateral triangle and a point M inside the triangle such that MA^2MB^2+MC^2 . Draw an equilateral triangle ACD whe...
Đọc tiếp
1. Two bisector BD and CE of the triangle ABC intersect at O. Suppose that BD.CE = 2BO.OC . Denote by H the point in BC such that .\(OH⊥BC\) . Prove that AB.AC = 2HB.HC
2. Given a trapezoid ABCD with the based edges BC=3cm , DA=6cm ( AD//BC ). Then the length of the line EF ( \(E\in AB,F\in CD\) and EF // AD ) through the intersection point M of AC and BD is ............... ?
3. Let ABC be an equilateral triangle and a point M inside the triangle such that \(MA^2=MB^2+MC^2\) . Draw an equilateral triangle ACD where \(D\ne B\) . Let the point N inside \(\Delta ACD\) such that AMN is an equilateral triangle. Determine \(\widehat{BMC}\) ?
4. Given an isosceles triangle ABC at A. Draw ray Cx being perpendicular to CA, BE perpendicular to Cx \(\left(E\in Cx\right)\) . Let M be the midpoint of BE, and D be the intersection point of AM and Cx. Prove that \(BD⊥BC\)
8 tháng 1 2022 lúc 21:07
Let I be the incentre of acute triangle ABC with ABne AC. The incircle omegaof ABC is tangent to sides BC, CA and AB at D, E, F respectively. The line through D pependicular to EF meets omegaagain at R. Line AR meets omegaagain at P. The circumcircles of triangles PCE and PBF meet again at Q. Prove that lines DI and PQ meet on the line through A perpendicular to AI.
Đọc tiếp
Let I be the incentre of acute triangle ABC with \(AB\ne AC\). The incircle \(\omega\)of ABC is tangent to sides BC, CA and AB at D, E, F respectively. The line through D pependicular to EF meets \(\omega\)again at R. Line AR meets \(\omega\)again at P. The circumcircles of triangles PCE and PBF meet again at Q. Prove that lines DI and PQ meet on the line through A perpendicular to AI.
8 tháng 1 2022 lúc 21:07
Let I be the incentre of acute triangle ABC with ABne AC. The incircle omegaof ABC is tangent to sides BC, CA and AB at D, E, F respectively. The line through D pependicular to EF meets omegaagain at R. Line AR meets omegaagain at P. The circumcircles of triangles PCE and PBF meet again at Q. Prove that lines DI and PQ meet on the line through A perpendicular to AI.
Đọc tiếp
Let I be the incentre of acute triangle ABC with \(AB\ne AC\). The incircle \(\omega\)of ABC is tangent to sides BC, CA and AB at D, E, F respectively. The line through D pependicular to EF meets \(\omega\)again at R. Line AR meets \(\omega\)again at P. The circumcircles of triangles PCE and PBF meet again at Q. Prove that lines DI and PQ meet on the line through A perpendicular to AI.
Ủa sao toàn tiếng Anh vậy
Given a triangle ABC having BAC = 1200, and AC= 2AB. The line passing through A perpendicular to AC intersects the perpendicular bisector of BC at O. Prove that the triangle OBC is an equilateral triangle
Giúp mk vs mk đang cần gấp
Given the triangle ABC with median AM, AB=5cm, AC=12cm.
a) Calculate the lengths of BC, AM
b) D for the point symmetric to A with respect to M. Prove AD=BC and calculate the area of ABCD
c) For what condition of right triangle ABC does ABCD become a square?
Given acute triangle ABC(AB<AC). O is the midpoint of BC, BM and CN are the altitudes of triangle ABC. The bisectors of angle \(\widehat{BAC}\)and \(\widehat{MON}\)meet each other at D. AD intesects BC at E. Prove that quadrilateral BNDE is inscribed in a circle.s
( HELP ME )
In triangle ABC the points D and E are the intersections of the angular bisectors from C and B with the sides AB and AC respectively. Points F and G on the extentions of AB and AC beyond B and C respectively, satisfy BF= CG= BC. Prove that FG//DE.
I do not know how to answer this question. Stupid that staged shows English
Đúng 0
Bình luận (2)
Let ABC be an isoceles triangle (AB = AC) and its area is 501cm2. BD is the internal bisector of the angle ABC (D ∈ AC), E is a point on the opposite ray of CA such that CE = CB. I is a point on BC such that CI = 1/2 BI. The line EI meets AB at K, BD meets KC at H. Find the area of the triangle AHC.
bái phục giờ vẫn còn thi toán tiếng anh á ghê á nha
thi xog cấp tỉnh là vứt luôn nhác thi lắm luôn
Đúng 0
Bình luận (3)