1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Triangles between Same Parallels
The side of a...
Question
The side of a triangle is 10 cm and 20 cm . The length of the altitude to the longer side is 5 cm . Find the length of the altitude to the shorter side. Also find the area of triangle
Open in App
Solution
Area of triangles
1
2
×
base
×
height
⇒
1
2
×
A
D
×
B
C
=
1
2
×
A
B
×
C
F
=
1
2
×
A
C
×
B
C
1
2
×
A
D
×
B
C
=
1
2
×
A
B
×
C
F
⇒
1
2
×
20
×
5
=
1
2
×
10
×
C
F
⇒
C
F
=
1
2
×
20
×
5
1
2
×
10
=
10
c
m
So height of shorter side is
10
c
m
Area of triangle
=
1
2
×
20
×
5
=
50
c
m
2
or
1
2
×
10
×
10
=
50
c
m
2
Suggest Corrections
0
Similar questions
Q.
Calculate the area of the triangle whose sides are 18 cm, 24 cm and 30 cm in length. Also, find the length of the altitude corresponding to the smallest side.
Q.
Find the area of triangle whose sides are
5
cm,
12
cm and
13
cm. Also, find the length of its altitude corresponding to the longest side
.
Q.
Find the area of a triangle whose sides are
18
c
m
,
24
c
m
,
30
c
m
.
Also, find the length of altitude corresponding to the largest side of the triangle.
Q.
The longer side of a parallelogram is 54 cm and the corresponding altitude is 16 cm. If the altitude corresponding to the shorter side is 24 cm, find the length of the shorter side.