Question

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

Answer 1

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