Solve
Guides
Join / Login
Use app
Login
0
You visited us
0
times! Enjoying our articles?
Unlock Full Access!
Standard VIII
Mathematics
Medians of a Triangle and the Drawing Method
Question
The sides of a right triangle are
9
,
12
and
15
cm long. Find the sum of the squares of the medians.
327.5
cm
332.5
cm
337.5
cm
322.5
cm
A
327.5
cm
B
332.5
cm
C
337.5
cm
D
322.5
cm
Open in App
Solution
Verified by Toppr
The sides of a right triangle are
9
,
12
and
15
cm
(
M
1
)
2
=
1
4
[
2
(
12
)
2
+
2
×
(
15
)
2
−
(
9
)
2
]
=
1
4
[
2
×
144
+
2
×
225
−
81
]
=
1
4
[
288
+
450
−
81
]
=
1
4
×
657
=
164.25
cm
(
M
2
)
2
=
1
4
[
2
(
9
)
2
+
2
×
(
15
)
2
−
(
12
)
2
]
=
1
4
[
2
×
81
+
2
×
225
−
144
]
=
1
4
[
162
+
450
−
144
]
=
1
4
×
468
=
117.00
cm
(
M
3
)
2
=
1
4
[
2
(
12
)
2
+
2
×
(
9
)
2
−
(
15
)
2
]
=
1
4
[
2
×
144
+
2
×
81
−
225
]
=
1
4
[
288
+
162
−
225
]
=
1
4
×
225
=
56.25
Then length of medians
=
164.25
+
117.00
+
56.25
=
337.5
cm
Was this answer helpful?
0
Similar Questions
Q1
The sides of a right triangle are
9
,
12
and
15
cm long. Find the sum of the squares of the medians.
View Solution
Q2
If the sides of a right triangle are
9
,
12
and
15
cm long then the sum of squares of medians is:
View Solution
Q3
The sides of a right triangle are 9 cm, 12 cm, and 15 cm long. Then the sum of the square of the medians is equal to
View Solution
Q4
If the sides of a right triangle are
9
cm,
12
cm, and
15
cm long, then the sum of squares of medians is:
View Solution
Q5
If the sides of a right triangle are
9
,
12
and
15
c
m
long, then the sum of squares of medians is
View Solution