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Maths-

General

Easy

Question

If tan $A plus tan invisible function application B plus tan invisible function application C equals 3 square root of 3$ then the $straight capital delta to the power of k$ is

isosceles
right angled
equilateral
scalene

hint Hint:

In this question, we have to find the type of triangle if tan $A plus tan invisible function application B plus tan invisible function application C equals 3 square root of 3$ . Isosceles triangle is the triangle with the two angles equal, right-angled triangle is the triangle with an angle 90 degree, equilateral triangle is the triangle with all angles equal and scalene triangle is the triangle with unequal sides.

The correct answer is:
equilateral

$I n space increment A B C comma space A plus B plus C space equals space straight pi rightwards double arrow straight A plus straight B equals straight pi minus straight C rightwards double arrow tan left parenthesis straight A plus straight B right parenthesis equals tan left parenthesis straight pi minus straight C right parenthesis rightwards double arrow fraction numerator tan space straight A plus tan space straight B over denominator 1 minus space tan space straight A thin space. space tan space straight B end fraction equals tan space straight C rightwards double arrow tan space straight A space plus space tan space straight B equals tan space straight C space minus space tan space straight A space. tan space straight B space. tan space straight C rightwards double arrow tan space straight A plus tan space straight B plus tan space straight C equals space tan space straight A. space tan space straight B. space tan space straight C This space is space only space possible space if straight A equals straight B equals straight C equals 60 degree tan space straight A space tan space straight B space tan space space straight C space equals square root of 3. square root of 3. square root of 3 equals 3 square root of 3 equals tan space straight A space tan space straight B space tan space straight C So comma space the space triangle space is space equilateral space triangle.$

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