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SSC CGL Triangle Center — practice questions — page 4

Explore 93 free Triangle Center questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Triangle Center questions and exercises with answers

Showing questions 91–93 of 93.

A triangle with sides 7, 9 and 10 cm has an incircle. The tangent length from the vertex opposite the 9 cm side isRead the answer and worked solution →Tangents are drawn at the two ends of a diameter of a circle. They areRead the answer and worked solution →Tangents PA and PB from P to a circle are perpendicular and PA = 7 cm. The radius isRead the answer and worked solution →

Worked practice questions

A triangle with sides 7, 9 and 10 cm has an incircle. The tangent length from the vertex opposite the 9 cm side is

  1. 6 cm
  2. 3 cm
  3. 5 cm
  4. 4 cm
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Correct answer: D. 4 cm

Tangent lengths from a vertex equal the semiperimeter minus the opposite side, 13 - 9 = 4 cm.

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Tangents are drawn at the two ends of a diameter of a circle. They are

  1. equal chords
  2. perpendicular
  3. meeting at 60°
  4. parallel lines
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Correct answer: D. parallel lines

Each tangent is perpendicular to the same diameter, so the two tangents are parallel.

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Tangents PA and PB from P to a circle are perpendicular and PA = 7 cm. The radius is

  1. 7√2 cm
  2. 7 cm
  3. 14 cm
  4. 3.5 cm
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Correct answer: B. 7 cm

OAPB has four right angles and OA = OB, so it is a square and the radius equals PA = 7 cm.

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More Quantitative Aptitude topics

Profit and LossSquare RootsTime, Speed and DistanceTime and WorkRatio and ProportionPercentageSimple & Compound InterestAverages