goofballajla21 goofballajla21
  • 18-02-2020
  • Mathematics
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ms green tell you that a right triangle has a hypotenuse of 13 and a leg of 5 . She asks you to find the other leg of the triangle. What is your answer

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znk
znk znk
  • 18-02-2020

Answer:

[tex]\large \boxed{12}[/tex]

Step-by-step explanation:

We can apply Pythagoras' Theorem.

[tex]\begin{array}{rcc}a^{2} & = & b^{2} + c^{2}\\13^{2}& = & 5^{2} + c^{2}\\169& = & 25 + c^{2}\\c^{2}& = & 144\\c & = & \sqrt{144}\\& = & \mathbf{12}\\\end{array}\\\text{The other leg of the triangle is $\large \boxed{\mathbf{12}}$}[/tex]

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