Try this beautiful Geometry problem from PRMO, 2018 based on Medians.
In a triangle ABC, right-angled at A, the altitude through A and the internal bisector of have lengths
and
, respectively. Find the length of the median through
.
Geometry
Medians
Triangle
Answer:
PRMO-2018, Problem 13
Pre College Mathematics
Now in the Right angle Triangle ABC ,.
is Altitude and
is the internal Bisector and
is the median.Now we have to find out the length of
Now .
Let,
,
so
Can you now finish the problem ..........
Therefore,
Can you finish the problem........
Now is the median ,
Try this beautiful Geometry problem from PRMO, 2018 based on Medians.
In a triangle ABC, right-angled at A, the altitude through A and the internal bisector of have lengths
and
, respectively. Find the length of the median through
.
Geometry
Medians
Triangle
Answer:
PRMO-2018, Problem 13
Pre College Mathematics
Now in the Right angle Triangle ABC ,.
is Altitude and
is the internal Bisector and
is the median.Now we have to find out the length of
Now .
Let,
,
so
Can you now finish the problem ..........
Therefore,
Can you finish the problem........
Now is the median ,