Question

In the figure angle B =90 degree BC=12cm TanC=3/4 . find AB . Find tanA​

Answer 1

Answer:

Tan A =12/3

Step-by-step explanation:

as tan C =3/4

Answer 2

The value of tan(A) is 3/5.

Given triangle ABC with angle B = 90 degrees, side BC = 12 cm, and tan(C) =$3/4:$

To find AB, we can use the Pythagorean theorem since angle B is 90 degrees. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse is AB and the other two sides are BC and AC:

$AB^2 = BC^2 + AC^2$

$AB = \sqrt(BC^2 + AC^2)$

We know that BC = 12 cm. To find AC, we can use the tangent function:

tan(C) = AC/BC

$AC = tan(C) x BC$

$AC = (3/4) x 12 cm$

AC = 9 cm

Now we can substitute these values into the Pythagorean theorem:

AB = √($BC^2 + AC^2$)

AB = √$(12^2 + 9^2)$

AB = √(144 + 81)

AB = √225

AB = 15 cm

To find tan(A), we can use the tangent function:

tan(A) = AC/AB

tan(A) = 9 cm / 15 cm

tan(A) = $3/5$

So the value of tan(A) is $3/5.$

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