Using the diagram below, determine which statement is NOT true.
1 answer:
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Answer:
Construct MO, where O is the midpoint of CG. (As shown in the attached figure)
(1) LM = MG //given, CM is the median to the hypotenuse
(2) CO = OG // construction
(3) MO is a mid-segment //(1), (2) , Definition of a mid-segment
(4) MO // LC //triangle mid-segment theorem
(5) ∠MOG ≅ ∠LCO // corresponding angles in two parallel lines intersected by a transversal line (CG)
(6) m∠LCO=90° //given, ΔLCG is a right triangle
(7) m∠MOG=90° //(5), (6), definition of congruent angles
(8) m∠MOC=180° – 90° = 90° // linear pair
(9) ∠MOG ≅ ∠MOC //(7),(8), definition of congruent angles
(10) MO=MO //common side, reflexive property of equality
(11) ΔMCO ≅ ΔMGO //(2), (9), (10) Side-Angle-Side postulate
(12) MC = MG // Corresponding sides in congruent triangles (CPCTC)
(13) MG= ½LG // Given, CM is the median to the hypotenuse
(15) MC = ½LG //(12) , (13), substitution
<h2>Given :-</h2>
- 50 men do 10 hours work daily complete work in 20 days
- 80 men do job in 50% time
- Days required
- 1 man may do job in (50 × 20) days =
- 1 man may do job in 1000 days
Now,
- 80 man = 1000/80 = 12.5
Now,
- When hours reduced 50% then we will multiply days by 2
- Total days = 12.5 × 2 = 25 days.
- Option C is correct