Cot A=3/4
AC= 10cm
Find AB
Answers
Answer:
cotA=
4
3
=
BC
AB
⇒
BC
AB
=
4
3
⇒AB:BC=3:4
⇒ Let AB=3x&BC=4x
In right angle △ABC,
⇒AC
2
=AB
2
+BC
2
⇒(10)
2
=(3x)
2
+(4x)
2
⇒100=(9x
2
)+(16x
2
)
⇒25
x
2
=100
⇒x
2
=4
⇒x=2
⇒AB=3x=6cm
Hence, the answer is 6cm
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