How to find the length of the diagonal of a pentagon

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Math › How to find the length of the diagonal of a pentagon

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Find the length of the diagonal of the following pentagon:

Area_pentagon

$3.4\ m$

$3.3\ m$

$3.2\ m$

$3.1\ m$

$3.0\ m$

Use the Pythagorean Theorem to find the length of the diagonal:

$(\frac{1}{2}side)^2+(apothem)^2=(diagonal)^2$

$(2\ m)^2+(2.75\ m)^2 = C^2$

$C\approx 3.4\ m$

Find the length of the diagonal of the following pentagon:

Screen_shot_2014-03-11_at_8.34.46_pm

$3\sqrt{2}\ m$

$2\sqrt{3}\ m$

$6\sqrt{2}\ m$

$4\sqrt{3} \ m$

$6\ m$

Use the Pythagorean Theorem to find the length of the diagonal:

$(\frac{1}{2}side)^2+(apothem)^2=(diagonal)^2$

$(3\ m)^2+(3\ m)^2=C^2$

$C=3\sqrt{2}\ m$