2. Subject – Mathematics
Unit – Properties of triangle
Subunit – Altitude of triangle
Standard – 7th
3. Properties of triangle
Altitude of triangle
Concept and definition of Altitude of triangle
Concept of altitudes of triangle
Altitudes in case of types of triangles based on angle (acute,
right, obtuse)
Altitudes in case of types of triangles based on side (equilateral,
isosceles, scalene)
Altitudes of triangle are concurrent
4. In this figure,
M is the
midpoint of the
segment AB
A M B
5. Line l, line m,
line n are
bisectors of
seg AB A
l m
M
n
B
Line m is
perpendicular
bisector of seg
AB.
6. In figure, A, B, C are
the three vertices and
seg AB, seg AC and
seg BC are the three
sides of ABC
A
B C
7. In ABC, the seg AP
has been drawn
through the vertex A
perpendicular to side
BC.
A
Seg AP is called an B P C
Altitude..
8. In DEF, the seg DM
has been drawn
through the vertex D
perpendicular to side
EF.
Seg DM is called as an
____________.
D
E M F
Check the Answer
9. In DEF, the seg DM
has been drawn
through the vertex D
perpendicular to side
EF.
D
Seg DM is called as an E M F
Altitude.
10. In PQR, Altitude PS is
drawn from vertex P
and perpendicular to
opposite side QR.
P
Q S R
11. X
Y M Z
In XYZ, Altitude XM
is drawn from
vertex and
perpendicular to
opposite side YZ.
Check the Answer
12. In XYZ, Altitude XM
is drawn from
vertex X and
perpendicular to
opposite side YZ.
X
Y M Z
13. In PQR, Altitude PS is
drawn from vertex P
and perpendicular
to opposite side
QR.
P
Q S R
14. X
Y M Z
In XYZ, Altitude XM
is drawn from
vertex X and
perpendicular to
opposite side .
Check the Answer
15. In XYZ, Altitude XM
is drawn from
vertex X and
perpendicular to
opposite side YZ.
X
Y M Z
16. Altitude - The line segment drawn from the vertex and
perpendicular to opposite side is an altitude of triangle.
Three altitudes can be drawn in any type of triangle.
Altitudes of triangle are concurrent
Intersection point of altitudes is called Orthocenter.
Position of Orthocenter –
In acute angled triangle – inside the triangle region
In right angled triangle – on the vertex where right angle is
formed
In obtuse angled triangle – outside the region of triangle