The figure shows two similar triangles which two sets of angles are corresponding angles?
1 answer:
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See the attached picture with letters to better understand the problem
we know that
the figure is a regular hexagon
</span></span>so
in the triangle ABC
BC=2 units
∠ABC=30°
∠BAC=60°
tan 30°=AC/BC
solve for AC
AC=BC*tan 30°-------> AC=2*(√3)/3
<span>Apothem is equal to AC
</span>Apothem=(2/3)√3
the answer is
(2/3)√3
we know that
the figure is a regular hexagon
A regular hexagon has:
<span>Interior Angles of <span>120°</span></span>so
in the triangle ABC
BC=2 units
∠ABC=30°
∠BAC=60°
tan 30°=AC/BC
solve for AC
AC=BC*tan 30°-------> AC=2*(√3)/3
<span>Apothem is equal to AC
</span>Apothem=(2/3)√3
the answer is
(2/3)√3