Chloe wants to draw a right triangle. Which of the following lengths could be the side lengths of the triangle? A. 8 cm, 15 cm and 17 cm B. 3 cm, 5 cm and 6 cm C. 5 cm, 12 cm an…

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Ricardo Nolde · Answer 1 · 2023-09-07T03:23:50+0000

For any right triangle

We have that:

This is called the Pythagorean Theorem.

Now, let's use this theorem to find which sets could be the side lenghts of a right triangle:

$\begin{gathered} 8\operatorname{cm},15\operatorname{cm},17\operatorname{cm} \\ 8^2+15^2=17^2\rightarrow289=289\text{ }✅ \\ \\ 3\operatorname{cm},5\operatorname{cm},6\operatorname{cm} \\ 3^2+5^2=6^2\rightarrow34\\e36\text{ }❌ \\ \\ 5\operatorname{cm},12\operatorname{cm},14\operatorname{cm} \\ 5^2+12^2=14^2\rightarrow169\\e196\text{ }❌ \\ \\ 1.2\operatorname{cm},2.4\operatorname{cm},2.6\operatorname{cm} \\ 1.2^2+2.4^2=2.6^2\rightarrow7.2\\e6.76\text{ }❌ \end{gathered}$

This way, the correct answer is: Option A

Chloe wants to draw a right triangle. Which of the following lengths could be the-example-1

Chloe wants to draw a right triangle. Which of the following lengths could be the side lengths of the triangle? A. 8 cm, 15 cm and 17 cm B. 3 cm, 5 cm and 6 cm C. 5 cm, 12 cm an…

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