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The six triangles make one hexagon.
Approximately 13.16 cm
Looking at the diagram, we see that the height of the triangle at the bottom is 2s3, and one side of it is s. For the hexagon to be regular, the triangles must all be equilateral and, therefore, congruent. Let's first show that the triangle at the bottom is indeed an equilateral triangle.
The measure of the interior angle of a regular hexagon must be 120∘. We see that the angles are bisected by triangles so all triangles have two 60∘ angles. The Interior Angles Theorem tells us that the triangles must be equilateral then because 60∘+60∘+60∘=180∘.
AH=450
LHS⋅4=RHS⋅4
LHS/63=RHS/63
ba=b/6a/6
ba=b⋅3a⋅3
Calculate quotient
LHS=RHS
Use a calculator
Round to 2 decimal place(s)
Rearrange equation