MathDB
Problems
Contests
National and Regional Contests
Vietnam Contests
Hanoi Open Mathematics Competition
2015 Hanoi Open Mathematics Competitions
12
integer altitudes in triangle, 3,7 and d (2015 HOMC Junior Q12)
integer altitudes in triangle, 3,7 and d (2015 HOMC Junior Q12)
Source:
July 19, 2019
altitudes
Integer
geometry
Problem Statement
Give a triangle
A
B
C
ABC
A
BC
with heights
h
a
=
3
h_a = 3
h
a
=
3
cm,
h
b
=
7
h_b = 7
h
b
=
7
cm and
h
c
=
d
h_c = d
h
c
=
d
cm, where
d
d
d
is an integer. Determine
d
d
d
.
Back to Problems
View on AoPS