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2 years ago

14

A triangle has sides of length 7 cm, 4 cm, and 5 cm. How many unique triangles can be drawn that fit that description? Explain o

r show your reasoning.

1 answer:

AlladinOne [14]2 years ago

5 0

Only one triangle can be drawn

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% left side templates
\begin{array}{llll}
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\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
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\end{array}\\\\
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$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\$

$\bf \bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
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1) D = 2, C = +3

2) D = -12, C = -2

3) C = +6, D = 3

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2 years ago