MathDB

5

Part of 2018 Junior Regional Olympiad - FBH

Problems(3)

Junior Regional Olympiad - FBH 2018 Grade 6 Problem 5

Source:

9/19/2018
In triangle ABCABC length of altitude CHCH, with H∈ABH \in AB, is equal to half of side ABAB. If ∠BAC=45∘\angle BAC = 45^{\circ} find ∠ABC\angle ABC
geometryperimeteraltitudeAngle Chasing
Junior Regional Olympiad - FBH 2018 Grade 7 Problem 5

Source:

9/19/2018
Find all integers xx and yy such that 2x+1=y22^x+1=y^2
IntegersexponentialExponents
Junior Regional Olympiad - FBH 2018 Grade 8 Problem 5

Source:

9/19/2018
It is given square ABCDABCD which is circumscribed by circle kk. Let us construct a new square so vertices EE and FF lie on side ABCDABCD and vertices GG and HH on arc ABAB of circumcircle. Find out the ratio of area of squares
ratioSquarescircumcircle