<span>This polygon is a <span>hexagon.
</span></span>
<span>Triangle AED is <span>equilateral triangle.
</span></span>
<span>AH is the height <span>of an equilateral triangle.
![|AE|=|ED|=|DA|=a=5\\\\|AH|=\dfrac{a\sqrt3}{2}\\\\subtitute\\\\\boxed{|AH|=\dfrac{5\sqrt3}{2}}](https://tex.z-dn.net/?f=%7CAE%7C%3D%7CED%7C%3D%7CDA%7C%3Da%3D5%5C%5C%5C%5C%7CAH%7C%3D%5Cdfrac%7Ba%5Csqrt3%7D%7B2%7D%5C%5C%5C%5Csubtitute%5C%5C%5C%5C%5Cboxed%7B%7CAH%7C%3D%5Cdfrac%7B5%5Csqrt3%7D%7B2%7D%7D)
</span></span>
Answer:
La raíz cuadrada de cualquier número se puede expresar usando la fórmula: √y = y½.
The side AB measures option 2.
units long.
Step-by-step explanation:
Step 1:
The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).
The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.
To calculate the distance between two points, we use the formula ![d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}.](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cleft%28x_%7B2%7D-x_%7B1%7D%5Cright%29%5E%7B2%7D%2B%5Cleft%28y_%7B2%7D-y_%7B1%7D%5Cright%29%5E%7B2%7D%7D.)
where (
) are the coordinates of the first point and (
) are the coordinates of the second point.
Step 2:
For A (4, 5) and B (2, 1), (
) = (4, 5) and (
) = (2, 1). Substituting these values in the distance formula, we get
![d=\sqrt{\left(2-4\right)^{2}+\left(1-5}\right)^{2}} = \sqrt{\left(2\right)^{2}+\left(4}\right)^{2}}=\sqrt{20}}.](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cleft%282-4%5Cright%29%5E%7B2%7D%2B%5Cleft%281-5%7D%5Cright%29%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B%5Cleft%282%5Cright%29%5E%7B2%7D%2B%5Cleft%284%7D%5Cright%29%5E%7B2%7D%7D%3D%5Csqrt%7B20%7D%7D.)
So the side AB measures
units long which is the second option.
Answer:
look above
Step-by-step explanation:
hope it helps