Multiple Choice
In a right triangle , if the length of is units and angle is , what is the length of side opposite angle ?
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2. Trigonometric Functions on Right Triangles
Solving Right Triangles
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Which set of three angles could represent the interior angles of a triangle?
A
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B
, ,
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, ,
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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