IN TRIANGLE ABC ANGLE B=90 AD AND CF ARE MEDIANS AD=5,CF=6 FIND AC
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IN TRIANGLE ABC ANGLE B=90 AD AND CF ARE MEDIANS AD=5,CF=6 FIND AC
IN TRIANGLE ABC ANGLE B=90 AD AND CF ARE MEDIANS AD=5,CF=6 FIND AC
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Answer:
Solution
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Since △ABD is a right-angled triangle at B. Therefore,
)
⇒ AD
2
+CE
2
=
4
5
AC
2
[∵△ABC is right triangle ∴AC
2
=AB
2
+BC
2
]
⇒ (
2
3
5
)
2
+CE
2
=
4
5
×25
⇒ CE
2
=
4
125
−
4
45
=20
⇒ CE=
20
cm=2
5
cm