Question

in triangle abc the length of ac is 2 root 10. if tan b is 2 ans tan c is 3 find length of the sides bc and ab​.
please answer fast and help me.

Answer 1

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Given:-

AC length=2√10

tanb=2

tanc=3

ATQ,

tanc=>p/b=AB/BC=3

AB/BC=3

AB=3BC

By pythogorous theorm:-

AB²+BC²=AC²

=>(3BC)²+BC²=AC²

=>9BC²+BC²=AC²

=>10BC²=>AC²

=>BC²/AC²=1/10

=>AC²/BC²=10

=>AC/BC=√10

=>2√10/BC=√10 {putting the value of AC}

=>BC=2

So,AB=6 {put the value}

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Answer 2

Answer:

Step-by-step explanation:

The question is wrong.

1. It is not given that ABC is a right angled triangle with angle A = 90 degrees.

2. From the data given angle A can not be = 90 degrees. Because, in that case angle B + angle C must be = 90 degrees. In that case tan B = cot C and vice versa. But the given data tan B = 2 and tan C = 3 does not satisfy

this condition.

Hence, the question is wrong.