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horsena [70]
3 years ago
8

If anything, I need help with the whole page.

Mathematics
1 answer:
Paraphin [41]3 years ago
7 0
I can't see the page, however if you need help with the whole thing, we could possibly message each other on here OR if you are comfortable, we could email.

I don't know what math you're in though because I can't see the page but I'm sure I can help you. I'm in calculus.

Best wishes!
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Answer:

\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}

The middle point of the base is placed at point

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The length of the height is the distance between the points 5+9i and 7+3i

\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}

So, the area of the triangle is

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

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