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tamaranim1 [39]
2 years ago
13

Which is best represent the area of a triangle of a height of x+7 and a base of 2x+12

Mathematics
1 answer:
Archy [21]2 years ago
8 0

\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=x+7\\ b=2x+12 \end{cases}\implies A=\cfrac{1}{2}(2x+12)(x+7) \\\\\\ A=\cfrac{1}{2}\underset{\stackrel{\uparrow \qquad }{\textit{common factoring}}}{2(x+6)(x+7)}\implies A=(x+6)(x+7)\implies A=\stackrel{\mathbb{F~O~I~L}}{x^2+13x+42}

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If you observe the triangle, you can see that all of its sides are equal. They are all s, or 6.3 mm. This means that to find the perimeter of the triangle, you can do either of two things:

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