Circle O has diameters AB and CD perpendicular to each other. AM is any chord intersecting CB at N.I is the center of the circle inscribed in triangle AMB. Prove that M, I, D are collinear points

CD

Cù Đức Anh

23 tháng 3 2022

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2

ZT

Zero Two

23 tháng 3 2022

ô hello ZT

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CD

Cù Đức Anh

23 tháng 3 2022

ét o ét, cần giúp

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LT

Lê Tài Bảo Châu

23 tháng 4 2019 - olm

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 )

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0

NV

Nguyễn Văn Nguyên

16 tháng 10 2021 - olm

Can you help me solve this problem?

EXERCISE 2: Let ABC be a triangle with p/g of angles B and C intersecting at I. The exterior bisector of two angles B and C intersect at prove that the three points A,I,H are collinear

help me

if you help me, i will tick

#Toán lớp 7

1

NM

Nguyễn Minh Quang

Giáo viên

17 tháng 10 2021

we have:

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PT

Phạm Thị Hằng

21 tháng 12 2016 - olm

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...

Đọc tiếp

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0

MT

Mai Thanh Tâm

17 tháng 4 2016 - olm

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

#Toán lớp 7

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LS

Lê Song Phương

12 tháng 1 2022 - olm

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.

#Toán lớp 9

5

VN

Vòng Ngọc Chí Thiện

12 tháng 1 2022

????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

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NT

Nguyễn Thị Thanh Hằng

12 tháng 1 2022

Nose this my is các anh chị giải dùm em với

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TX

Trần Xuân Bách

29 tháng 11 2019

Give the quadrilateral ABCD. \(A_1,B_1,C_1,D_1\) is the center of the circle circumscribed to the triangle BCD, CDA, DAB, ABC. \(A_2,B_2,C_2,D_2\) is the center of the circle circumscribed to the triangle \(B_1C_1D_1,C_1D_1A_1,D_1A_1B_1,A_1B_1C_1\). Prove that : \(\frac{S_{A_2B_2C_2D_2}}{S_{ABCD}}=\frac{\left(cotA+cotC\right)^2\left(cotB+cotD\right)^2}{16}\)

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CA

CHU ANH TUẤN

30 tháng 8 2018 - olm

Given the Triangle ABC and the point M inside the triangle (M don't belong on any sides of triangle).let I be the intersection point of the line BM and the side AC

a, compare MA to MI+MB,then prove that MA +MB<IB+IA

b, compare IB to IC+CB, then prove that IB+IA<CA+CB

c, Demonstrate the inequality MA+MB<CA+CB

#Toán lớp 7

0

CA

CHU ANH TUẤN

29 tháng 8 2018 - olm

Given the Triangle ABC and the point M inside the triangle (M don't belong on any sides of triangle).let I be the intersection point of the line BM and the side AC

a, compare MA to MI+MB,then prove that MA +MB<IB+IA

b, compare IB to IC+CB, then prove that IB+IA<CA+CB

c, Demonstrate the inequality MA+MB<CA+CB

#Toán lớp 7

1