In a triangle ABC the length of AC is 2 root 10 if tan B =2 and tanC = 3 find the length of the side BC= AB
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In a triangle ABC the length of AC is 2 root 10 if tan B =2 and tanC = 3 find the length of the side BC= AB
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Step-by-step explanation:
Given
Ac length =2root10
tan=2
tan=
ATQ
tan=>p/b=AB/BC=3
AB/BC=3
AB=3BC
BY PHYTHAGAROUS PROPERTY
AB^2+BC^2=AC^2
-----》(3BC)^2+BC^2=AC
------》 9BC^2+BC^2=AC^2
-----》 10BC^2=>AC^2
-----》 BC^2/AC^2=1/10
-----》 AC^2/BC^2=10
-----》AC/BC=ROOT 10
-----》2 root 10/BC=ROOT 10
[PUTTING VALUE OF ]
-----》BC=^2
SO,AB=6
(PUT THE VALUE)
BE BRAINLY