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We cannot construct a triangle if we are given -
Question

We cannot construct a triangle if we are given -

A.

two angles and one side

B.

only three sides

C.

only three angles

D.

two sides and included angle

Correct option is C

Given:

Options for constructing a triangle:

Two angles and one side

Only three sides

Only three angles

Two sides and included angle

Formula used:
A triangle can be uniquely constructed if:

Two angles and one side (AAS or ASA)

Two sides and included angle (SAS)

Three sides (SSS)

Solution:
If only three angles are given, we cannot determine the exact size of the triangle because the triangle’s shape is defined, but its size (scale) isn't fixed. This means infinitely many similar triangles can be made with the same angles.

Correct answer is (c) only three angles.

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