HardMath· Geometry and Trigonometry· Lines, angles, and triangles· MCQ
In the figure above, what is the length of ?
A
2.2
B
2.3
C
2.4
D
2.5
Correct answer: C
Explanation
Choice C is correct. First, is the hypotenuse of right , whose legs have lengths 3 and 4. Therefore, , so and . Second, because corresponds to and because corresponds to , is similar to . The ratio of corresponding sides of similar triangles is constant, so . Since and it’s given that and , . Solving for NQ results in , or 2.4.
Choices A, B, and D are incorrect and may result from setting up incorrect ratios.
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id cb_question_bank:51e437c3-a650-412c-83e1-e5b6ff0bc77b · question 740bf79f · IBN 022197-DC
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