3 years ago

Can the lengths 15 cm, 4 cm, and the square root of 209 cm make a right triangle?

Mathematics

1 answer:

Dimas [21]3 years ago

6 0

Answer: Yes they can

Step-by-step explanation:

Use Pythagoras rule c²=b²+a²

b²=209

c²=15²=225

a²=4²=16

209+16=225

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<em>Answer</em>

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<em>Step-by-step explanation</em>

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$\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}$

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$\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}$

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