MediumMath· Geometry and Trigonometry· Right triangles and trigonometry· SPR
In the right triangle shown above, what is the length of ?
Correct answer: 4
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Explanation
The correct answer is 4. Triangle PQR has given angle measures of 30° and 90°, so the third angle must be 60° because the measures of the angles of a triangle sum to 180°. For any special right triangle with angles measuring 30°, 60°, and 90°, the length of the hypotenuse (the side opposite the right angle) is 2x, where x is the length of the side opposite the 30° angle. Segment PQ is opposite the 30° angle. Therefore, 2(PQ) = 8 and PQ = 4.
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id cb_question_bank:ca8aad09-e2a4-410a-8c8a-6a1768acefd1 · question 13d9a1c3 · IBN 09170-DC
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