Question

in the adjoining figure ACD=30° and ABD=60° is the triangle ABD an equilateral triangle​

Answer 1

Answer:

NO..

TRIANGLE ABD IS NOT AN EQUILATERAL TRIANGLE.

Step-by-step explanation:

SUM OF ALL ANGLES OF A TRIANGLE IS 180°. THAT IS ANGLE ACD + ANGLE ABD + ANGLE BAD = 180°.

IF ANGLE ACD = 30°

ANGLE ABD = 60°

THEN ANGLE BAD WILL BE :

ANGLE (ACD + ABD + BAD) = 180°

30° + 60° + ANGLE BAD = 180°

THEREFORE ANGLE BAD = 180° - 30° - 60°

ANGLE BAD = 90°

IN EQUILATERAL TRIANGLE ALL ANGLES ARE 60°.

BUT HERE THE ANGLES ARE 60°,30°,90°

THUS TRIANGLE ABD IS NOT AN EQUILATERAL TRIANGLE.

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Answer 2

Answer:

No...

Triangle ABD Is not an

EQUILATERAL TRIANGLE...

Step-by-step explanation:

Sum of all angles of a triangle is 180°.

That is Angle ACD+ Angle ABD + Angle BAD

= 180°

If angle ACD = 30°

angle ABD = 60°

Then angle BAD will be:

Angle ( ACD+ ABD + BAD ) - 180°

30° + 60° + Angle BAD

Therefore angle BAD = 180° - 30° - 60°

Angle BAD = 90°

In equilateral triangle all angles are 60° .

But, here is 60°,30°,90°

Thus, triangle ABD is is not an equilateral triangle.