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3 years ago

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Which completely describes the polygon

1 answer:

deff fn [24]3 years ago

5 0

Answer:

None of the above.

Step-by-step explanation:Yes, all of the sides match, which would make it an equilateral polygon. However, it is not an equiangular polygon because not all of the angels are the same. In this case, since the angles do not mach and only the sides do, this is not a regular polygon. This is what leads me to believe that is none of them. All of the sides must be congruent and all interior angles must also be congruent.

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an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.

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Answer:

$\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}$

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

$A_\triangle=\dfrac{bh}{2}$

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have:

$leg=5,\ leg=h,\ hypotenuse=20$

Substitute:

$5^2+h^2=20^2$

$25+h^2=400$ <em>subtract 25 from both sides</em>

$h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm$

Calculate the area:

$A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2$

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