Important Geometry | Triangle Notes For SSC CGL 2018 : 29th May

Geometry | Triangle Concepts for SSC And Railway Exam:

Quantitative Aptitude is an equally important section for SSC CGL, CHSL, MTS exams and has an even more abundant importance in some other exams conducted by SSC. Generally, there are questions asked related to basic concepts and formulas of Geometry | Triangle. 

To let you make the most of QUANT section, we are providing important facts related to Geometry | Triangle. Also, Railway Exam is nearby with bunches of posts for the interested candidates in which quantitative aptitude is a major part. We have covered important notes and questions focusing on these prestigious exams. We wish you all the best of luck to come over the fear of Mathematics section.

Geometry | Triangle

1. Internal Bisector Property / आंतरिक द्विभाजक गुणधर्म : The internal bisector of an angle of a triangle divides the opposite side in the ratio of the sides containing the angle. / एक त्रिभुज के एक कोण का आंतरिक द्विभाजक,विपरीत भुजाओं को उनके कोणों के अनुपात में विभाजित करता है

In ∆ABC, if ∠1 = ∠2


2. If ∆ABC ~ ∆DEF,
   

3. Obtuse Angle Property/ अधिक कोण गुणधर्म :  In a ∆ if ∠B is obtuse then,  / एक Δ में यदि ∠B अधिक कोण है, तो

AC² = AB² + BC² + 2BC × BD where AD⊥BC



4. Acute Angle Property / न्यून कोण गुणधर्म:  In a ∆ABC, if ∠C is acute, then, / एक Δ में यदि ∠C न्यून कोण है, तो

AB² = AC² + BC² – 2BC × CD where AD ⊥ BC




5. Apollonius Theorem / अपोलोनियस प्रमेय : The sum of the squares of any two sides of a triangle is equal to the sum of twice the square of the median, which bisects the third side and half the square of the third side. / त्रिभुज की किसी भी दो भुजाओं के वर्गों का योग तीसरी भुजा के तीसरी भुजा के आधे वर्ग को विभाजित करने वाली मध्यिका के वर्ग के दोगुने के योग के बराबर होता है

In the given ∆ABC,



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