medians AD, BE and CF of triangle ABC meet at a point.of GD= 3 cm and BC = 10 cm find AD and BE
Answers
Answer:
ANSWER
From the figure,
△AGC,△AGF,△DGC are right angled at G
Using Pythagoras theorem,
AC
2
=GC
2
+AG
2
x
2
=4n
2
+4m
2
-----------------(i)
AF
2
=FG
2
+AG
2
4=n
2
+4m
2
-----------------(ii)
DC
2
=GC
2
+DG
2
2.25=4n
2
+m
2
-----------------(iii)
Solving (ii) and (iii)
n
2
=
3
1
, m
2
=
12
11
Substitute in (i)
x
2
=4n
2
+4m
2
=
3
4(1)
+
12
4(11)
=
3
4
+
3
11
=
3
15
x
2
=5
∴x = AC =
5
solution
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NTSE Foundation Matheamtics Chapter 16 to 18
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∣
∣
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∣
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x
x
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y
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View Answer
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From the figure,
△AGC,△AGF,△DGC are right angled at G
Using Pythagoras theorem,
AC
2
=GC
2
+AG
2
x
2
=4n
2
+4m
2
-----------------(i)
AF
2
=FG
2
+AG
2
4=n
2
+4m
2
-----------------(ii)
DC
2
=GC
2
+DG
2
2.25=4n
2
+m
2
-----------------(iii)
Solving (ii) and (iii)
n
2
=
3
1
, m
2
=
12
11
up
Substitute in (i)
x
2
=4n
2
+4m
2
=
3
4(1)
+
12
4(11)
=
3
4
+
3
11
=
3
15
x
2
=5
∴x = AC =
5
solution
Answered By
toppr
1155 Views
How satisfied are you with the answer?
This will help us to improve better
answr
Get Instant Solutions, 24x7
No Signup required
girl
Practice important Questions
NTSE Foundation Matheamtics Chapter 16 to 18
120 Qs
Related Questions to study
If (x
r
,y
r
) where r = 1,2,3 be the co-ordinates of the points A, B, C respectively, then the equation of median through A is
∣
∣
∣
∣
∣
∣
∣
∣
x
x
1
x
2
y
y
1
y
2
1
1
1
∣
∣
∣
∣
∣
∣
∣
∣
+
∣
∣
∣
∣
∣
∣
∣
∣
x
x
1
x
3
y
y
1
y
3
1
1
1
∣
∣
∣
∣
∣
∣
∣
∣
=0
Study later
View Answer
InΔ ABC,AB=AC and AD is a median. Prove that AD⊥BC.
Study later
View Answer
VIEW MORE
Create custom Assignments
Customize assignments and download PDF’s
girl
BROWSE BY
ClassesBoardsExams
MODULES
Online ClassesMock TestsAdaptive PracticeLive Doubts
Stay upto date with our Newsletter!
Stay informed, stay ahead. Be a topper
Your email address
About Us
Brand Resources
Press
Customer Stories
Jobs
Educators
Fellowship
Learning Planet
Guides
Ask
Blog
Bytes
News
Terms of Service
Privacy Policy
Contact Us
FAQs
Google Play
App Store
IN
India