MathDB

3

Part of 2015 Junior Regional Olympiad - FBH

Problems(3)

Junior Regional Olympiad - FBH 2015 Grade 6 Problem 3

Source:

10/1/2018
Let ADAD be a median of ABCABC and SS its midpoint. Let EE be a intersection point of ABAB and CSCS. Prove that BE=2AEBE=2AE
geometrymedian
Junior Regional Olympiad - FBH 2015 Grade 7 Problem 3

Source:

10/1/2018
Find the area of quadrilateral ABCDABCD if: two opposite angles are right;two sides which form right angle are of equal length and sum of lengths of other two sides is 1010
geometry
Junior Regional Olympiad - FBH 2015 Grade 8 Problem 3

Source:

10/1/2018
Let DD be a midpoint of BCBC of triangle ABCABC. On side ABAB is given point EE, and on side ACAC is given point FF such that ∠EDF=90∘\angle EDF = 90^{\circ}. Prove that BE+CF>EFBE+CF>EF
geometrymidpoint