Said quadrangle ABCD for the measurement of the angle A; B; C; D proportional voi5; 8; 13va 10.A / Count measure the angles of a quadrilateral ABCDb / Extend sides AB and DC intersect at E, which lasted two sides AD and BC in F. Two-rays catnhau sense of angles AED and corner cutting AFB O. Separate each corner giaccua AFB cutting edge CD and AB at M and N. Prove cuadoan MN O is the midpoint.
Said quadrangle ABCD for the measurement of the angle A; B; C; D proportional voi5; 8; 13va 10.A / Count measure the angles of a quadrilateral ABCDb / Extend sides AB and DC intersect at E, which lasted two sides AD and BC in F. Two-rays catnhau sense of angles AED and corner cutting AFB O. Separate each corner giaccua AFB cutting edge CD and AB at M and N. Prove cuadoan MN O is the midpoint.
Said quadrangle ABCD for the measurement of the angle A; B; C; D proportional voi5; 8; 13va 10.A / Count measure the angles of a quadrilateral ABCDb / Extend sides AB and DC intersect at E, which lasted two sides AD and BC in F. Two-rays catnhau sense of angles AED and corner cutting AFB O. Separate each corner giaccua AFB cutting edge CD and AB at M and N. Prove cuadoan MN O is the midpoint.
A trapezuim ABCD has two parallel sides AB and CD. The diagonals AC and BD intersect at E. If the areas of triangle CDE and CDB are 1 and 4 respectively, what is the area of the trapezuim ABCD
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 )
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 \(BD⊥BC\)
1.Given the quadrilateral ABCD with two diagonals perpendicular and AB = 8cm, BC = 7cm, AD = 4cm. Evaluate CD.
2.Given three consecutive even natural numbers, which have the product of last two numbers is 80 greater than the product of first two numbers.
Find the largest number.
Answer: The largest number is
Given that ABCD is a rectangle with AB = 12 cm, AD = 6 cm. M and N are respectively midpoint of segments BC and CD. Find the area of triangle AMN in square centimeters.
with triangle ABC, d is the line passing through B, E of AC. Via E draw straight lines parallel to AB and BC cut d at M, N. D is the intersection of ME and BC. NE lines cut AB and MC at F and K. CMR AFN triangles are in the same form as the MDC triangle
Let ABC be a triangle with AB = 3cm, AC = 7cm. The internal bisector of the angle BAC intersects BC at D. The line passing through D and parallel to AC cuts AB at E. Find the measure of DE. Answer: DE = ..........cm.
