2010 · Q6
Statement 1Let LMN be a triangle. Let P, Q be the mid points of the sides LM, LN respectively. If PQ2 = MP2 + NQ2, then LMN is a right angled triangle right angled at L.
Statement IIIf in a triangle ABC, AB2>BC2 + CA2, then ∠ACB is obtuse.
Which of the following is correct in the light of the above statements ?
Elementary MathematicsGeometry
- ABoth statement -1 and statement – II are correct and statement – II is the reason for statement -1
- BBoth statement -1 and statement – II are correct and statement – II is not the reason for statement -1
- CStatement -1 is true, but statement – II is false
- DStatement -1 is false, but statement – II is true
Explanation
Both statements are true (midpoint Pythagoras converse; obtuse-angle criterion) but II is not the reason for I.