Multiple Choice
In a right triangle , if the length of is units and angle is , what is the length of side opposite angle ?
2. Trigonometric Functions on Right Triangles
Solving Right Triangles
Multiple Choice
Which set of three angles could represent the interior angles of a triangle?
A
, ,
B
, ,
C
, ,
D
, ,
Verified step by step guidance1
Recall the fundamental property of the interior angles of a triangle: the sum of the three interior angles must be exactly \(180^\circ\).
For each given set of angles, add the three angles together using the formula \(\text{Sum} = \alpha + \beta + \gamma\), where \(\alpha\), \(\beta\), and \(\gamma\) are the angles in degrees.
Check the first set: \(60^\circ + 60^\circ + 60^\circ\). Calculate their sum to see if it equals \(180^\circ\).
Check the second set: \(90^\circ + 90^\circ + 0^\circ\). Calculate their sum and verify if it equals \(180^\circ\).
Repeat the process for the third and fourth sets: \(90^\circ + 45^\circ + 60^\circ\) and \(100^\circ + 40^\circ + 50^\circ\), respectively, to determine which sets satisfy the triangle angle sum property.
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