Long description: ex1fig8

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A right-angled triangle labeled ABC shows an angle theta at vertex A, the side opposite the right angle (the hypotenuse) labeled 7, and the side adjacent to angle theta labeled \(\ell\) with a length of 2.

Alt text: A right-angled triangle labeled ABC shows an angle theta at vertex A, the side opposite the right angle (the hypotenuse) labeled 7, and the side adjacent to angle theta labeled \(\ell\) with a length of 2.

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  • The image displays a right-angled triangle with vertices labeled A, B, and C.
  • The right angle is located at vertex B, indicated by a square symbol.
  • An angle, labeled theta, is shown at vertex A.
  • The side opposite the right angle, the hypotenuse AC, has a length labeled 7.
  • The side AB, which is adjacent to angle theta, has a length of 2.
  • The side labeled AC is related to the lengths 7 and 2 in the accompanying equation, \(\ell = \sqrt{7^2 - 2^2} = \sqrt{45} = 3\sqrt{5}\).

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