To find the side length of a right triangle, we'll need some more specific information such as the lengths of the known sides or the measures of the angles.
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If you know the lengths of the two legs (a and b), you can use the Pythagorean theorem: \[ c = \sqrt{a^2 + b^2} \] where \( c \) is the hypotenuse.
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If you know one leg and the hypotenuse (let's call the leg \( a \) and the hypotenuse \( c \)): \[ b = \sqrt{c^2 - a^2} \]
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If you know one leg and one angle (other than the right angle), you can use trigonometric ratios. For instance, using sine or cosine: \[ \text{If } A \text{ is one of the angles:} \]
- \( \sin(A) = \frac{\text{opposite}}{\text{hypotenuse}} \)
- \( \cos(A) = \frac{\text{adjacent}}{\text{hypotenuse}} \)
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If you only have the hypotenuse and one of the other angles \( A \), you can express the sides as:
- Opposite side = \( c \cdot \sin(A) \)
- Adjacent side = \( c \cdot \cos(A) \)
If you provide the specific lengths or angles, I can help you calculate the unknown side length of the triangle!