Question

If in triangle ABC B = 90 AB = 12cm BC = 5cm then value of cot c is

Answer 1

AB=12cm
BC=5cm
by hypotenuse formula, Ac=13cm
cot c=Bc/AB=5/12

Answer 2

Hence, the value of cot C is 5/12.

Given:

△ABC where ∠B = 90°

AB = 12 cm

BC = 5 cm

To Find:

The value of cot C.

Solution:

We have been given a right-angled triangle △ABC where ∠B = 90°.

Hence, AC is the hypotenuse, and AB and BC are the other two sides of  △ABC.

Now in any right-angled triangle, the cotangent of an angle is the ratio of the lengths of the adjacent side to the length of the side opposite to the given angle.

In △ABC,

The side adjacent to ∠C = BC = 5 cm

The side opposite to ∠C = AB = 12 cm.

Hence

cot C = (adjacent side) / (opposite side) = BC/AB = 5/12.

Hence, the value of cot C is 5/12.

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