Finding triangles
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Problem

Here are some triangles.

The diagrams are not to scale.

Can you find …

… a triangle similar to triangle A with perimeter \(6\)?
… a triangle similar to triangle B with perimeter \(6\)?
… a triangle similar to triangle C with perimeter \(6\)?
… a triangle similar to triangle D with perimeter \(6\)?
… a triangle similar to triangle A with area \(10\)?
… a triangle similar to triangle B with area \(10\)?
… a triangle similar to triangle C with area \(10\)?
… a triangle similar to triangle D with area \(10\)?
… a right-angled triangle similar to one of triangles A, B, C, D with area \(12\)?
… an isosceles triangle similar to one of triangles A, B, C, D with area \(12\)?
… an equilateral triangle similar to one of triangles A, B, C, D with area \(12\)?
… a scalene triangle similar to one of triangles A, B, C, D with area \(12\)?
… a right-angled triangle with area \(12\) that is not similar to any of triangles A, B, C, D?
… an isosceles triangle with area \(12\) that is not similar to any of triangles A, B, C, D?
… an equilateral triangle with area \(12\) that is not similar to any of triangles A, B, C, D?
… a scalene triangle with area \(12\) that is not similar to any of triangles A, B, C, D?