Only if the two triangles are congruent will they have equal areas.
A third fact is required to determine they are congruent (and thus have the same area):
1) The third sides are equal;
2) The angles enclosed between the sides are equal; or
3) The same one of the sides is the hypotenuse of the triangles, which are right angled triangles.
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If another triangle has the same three sides, that is, sides of the same length, it will have the same area. Note that this is a sufficient, but not a necessary, condition, since you can also have triangles of a different shape that have the same area.
The definition of an isosceles triangle is a triangle with at least two sides of equal length, which means it also has two angles of equal measurement. As such, equilateral triangles; triangles in which all sides and angles are congruent (Of the same size) are also considered to be isosceles triangles.
Then they both will be identical in sides and angles
And Equilateral Triangle has three EQUAL sides. Basically just your ordinary triangle. The Isosceles triangle usually has TWO equal sides, and one odd side,( not the same size in degrees.) A scalene Triangle also has TWO of the same sides, BUT- Its degrees are usually always different. I'll show you some examples. The first example below is an isosceles Triangle. The 2nd is the Scalene Triangle... Hope I helped...
Equilateral triangles have 3 sides all of the same lengths and the three angles are equal (60°). Isoceles triangles have two sides of equal length with both of those side angles being equal while the other is different. Scalane triangles have all sides of different lengths and different angles. Right angled triangles have one angle of 90° and the other two will total 90°.