Multiple Choice
In a right triangle, one leg measures and the hypotenuse measures . What is the length of the other leg?
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2. Trigonometric Functions on Right Triangles
Solving Right Triangles
Multiple Choice
Given a right triangle where one of the acute angles has a measure of , how many distinct triangles (up to similarity) can be formed?
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Verified step by step guidance1
Recall that in a right triangle, one angle is always 90°.
Since one acute angle is given as \(51^\circ\), the other acute angle must be \(90^\circ - 51^\circ = 39^\circ\) because the sum of angles in a triangle is \(180^\circ\).
Triangles are considered similar if their corresponding angles are equal, regardless of side lengths.
Given the angles \(51^\circ\), \(39^\circ\), and \(90^\circ\), any triangle with these angles will be similar to each other.
Therefore, only one distinct triangle (up to similarity) can be formed with an acute angle of \(51^\circ\) in a right triangle.
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