In triangle PQR, <p = 30 degrees
<Q = 80 degrees
<R = 70 degreees
QH is an altitude and RM is a median and H is on the line PR,
the measure of <MHP is:
a) 15 degrees or 20 degrees or 30 degrees or 40 degrees or 45 degreess ?
diagram is attatched
In triangle PQR, <p = 30 degrees
<Q = 80 degrees
<R = 70 degreees
QH is an altitude and RM is a median and H is on the line PR,
the measure of <MHP is:
a) 15 degrees or 20 degrees or 30 degrees or 40 degrees or 45 degreess ?
diagram is attatched
Multiple hellos. It is 30 degrees.
Solution: (All angular measurements in degrees)
degrees
degrees
degrees
is an altitude and is a median and is on the line
If is an altitude, then and are .
Filling in relevant angles angles: ,
Area of
A median splits a triangle into two triangles equal in area.
Construct altitude . (dotted line in diagram, forgot to label O)
Two similar triangles are discovered, and (as and are parallel)
Calculate area of
(Because a median splits a triangle into two triangles equal in area.)
Hence,
Which means that and
Thus
Hence and are identical
Hence