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TCS NQT GuideTCS NQT Numerical AbilityGeometry: Lines, Angles, and Triangles Theorems

Geometry: Lines, Angles, and Triangles Theorems

Learn core concepts, essential formulas, and attempt practice questions designed on the latest TCS NQT testing patterns.

Key Concepts & Formulas

  • 1Triangles: Sum of interior angles is 180 degrees.
  • 2Pythagoras Theorem: a^2 + b^2 = c^2 for right-angled triangles.
  • 3Angle Bisector Theorem: divides opposite side proportional to adjacent sides.
  • 4Sum of exterior angles of any polygon = 360 degrees.

TCS NQT Style Practice Questions

Practice Question 1

If two angles of a triangle are 50 and 60 degrees, find the third angle.

A) 70 degrees
B) 80 degrees
C) 90 degrees
D) 65 degrees

Correct Answer: A) 70 degrees

Step-by-step Solution: Sum of angles is 180. Third angle = 180 - (50 + 60) = 180 - 110 = 70 degrees.

Practice Question 2

In a right-angled triangle, base is 6 cm and height is 8 cm. Find the hypotenuse.

A) 10 cm
B) 12 cm
C) 14 cm
D) 9 cm

Correct Answer: A) 10 cm

Step-by-step Solution: Hypotenuse^2 = 6^2 + 8^2 = 36 + 64 = 100 => Hypotenuse = 10 cm.

Study Pro-Tip

Memorize standard Pythagorean triplets: (3,4,5), (5,12,13), (8,15,17) to save calculation time.

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