Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure?
a. The base angles of an equilateral triangle have equal measure.
b. If two sides of a triangle are equal, the third side must be equal to the others.
c. If a triangle is equiangular, then it is equilateral.
c. If one angle of a triangle is larger than another angle, then the side opposite the d. larger angle is longer than the side opposite the smaller angle.

D- If one angle of a triangle is larger than another angle, then the side opposite the d. larger angle is longer than the side opposite the smaller angle.

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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-08-02T12:54:06+02:00

The fact which helps to prove the isosceles theorem is; D If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

What is isosceles triangle?

An isosceles triangles in plane shape concept are characterized by two equal sides.

An isosceles triangle has two of its side length of same measure.

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.

On this note, in equilateral triangles, 2 sides are equal ( although, all sides of an equilateral triangle are equal).

Ultimately, the statement which helps to prove the isosceles triangle theorem which states that the base angles of any isosceles triangle have equal measure.

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Hence, option D is correct.