Prove that ABC is right angled triangle
when the length of its sides are given to be
9 cm, 12 cm and 15 cm.
Answers
Answered by
0
Step-by-step explanation:
Using apollonies theorem
3(AB
2
+BC
2
+AC
2
)=4(AD
2
+BE
2
+CF
2
)
AB=9cm, BC=12cm, CA=15cm
AD, BE, CF are medians
⇒AD
2
+BE
2
+CF
2
=
4
3
(AB
2
+BC
2
+AC
2
)
=
4
3
[(19)
2
+(12)
2
+(15)
2 ]
= 43
[81+144+225]
= 43×450
=337.5cm.
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