Well, honey, that's an equilateral triangle you're looking at. All three sides are the same length, so it's a perfect little equilateral package. No need to overcomplicate things here, it's as simple as it gets.
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No.
Two sides of a triangle are not sufficient to determine its area.
Scalene
No. The two shortest sides, 2cm and 4cm, add up to 6cm. 6 cm is shorter than 7cm, so those three sides will not make a triangle.
The height has not been given but the area of the triangle is: 0.5*height*base