The triangle shown is an isosceles triangle because the lengths of the two legs are equal.
Isosceles triangle:
- An isosceles triangle in geometry is a triangle with two equal-length sides.
- It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.
- The isosceles right triangle, the golden triangle, the faces of bipyramids, and some Catalan solids are all examples of isosceles triangles.
- Isosceles triangles were first studied mathematically in Babylonian and Egyptian mathematics.
- Isosceles triangles are commonly employed in architecture and design, such as in building pediments and gables, and have been utilized as ornamentation since much earlier periods.
Therefore, The triangle shown is an isosceles triangle because the lengths of the two legs are equal.
So, [tex]\frac{9}{2} g^{4} -18g^{3} +24g^{2} -12g+2[/tex] is the standard form polynomial expression represents the area of the triangle.
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