Right Triangle Medians
XAT 2014 · Quantitative Ability & Data Interpretation · Medium · Geometry
Triangle ABC is a right angled triangle. D and E are mid points of AB and BC respectively. Read the following statements. I. AE = 19 II. CD = 22 III. Angle B is a right angle.
Which of the following statements would be sufficient to determine the length of AC?
- A.
Statement I and Statement II.
- B.
Statement I and Statement III.
- C.
Statement II and III.
- D.
Statement III alone.
- E.
All three statements.
E
Explanation
Without Statement III, we do not know which angle is . Once Angle B is specified as , medians and satisfy , which allows determining . Thus all three statements are needed.
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