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DSSSB TGT Triangles — practice questions

Explore 11 free Triangles questions in DSSSB TGT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Triangles questions and exercises with answers

Showing questions 1–11 of 11.

As per your syllabus, given a triangle with sides a, b, c — what is the SEMI-PERIMETER s used in Heron's formula?Read the answer and worked solution →As per your syllabus, what is HERON's FORMULA for the area of a triangle with sides a, b, c and semi-perimeter s?Read the answer and worked solution →As per your syllabus, 's Example 5, applying Heron's formula to a triangle with sides 3, 4, 5 gives what area?Read the answer and worked solution →As per your syllabus, for a triangle with sides a, b, c and CIRCUMCIRCLE radius R, what is the area formula?Read the answer and worked solution →As per your syllabus, for a triangle with sides a, b, c and INCIRCLE radius r, the area equals which expression?Read the answer and worked solution →As per your syllabus, what is BRAHMAGUPTA's FORMULA for the area of a CYCLIC quadrilateral with sides a, b, c, d and semi-perimeter s?Read the answer and worked solution →As per your syllabus, a CYCLIC quadrilateral has sides 3, 4, 5, 6. What is its area (using Brahmagupta's formula)?Read the answer and worked solution →Match each similarity ideaRead the answer and worked solution →True or false: similar figuresRead the answer and worked solution →Tap what similarity of polygons needsRead the answer and worked solution →Which one does NOT belong?Read the answer and worked solution →

Worked practice questions

As per your syllabus, given a triangle with sides a, b, c — what is the SEMI-PERIMETER s used in Heron's formula?

  1. s = (a² + b² + c²) / 2
  2. s = (a + b + c) / 2
  3. s = (abc) / 3
  4. s = (a + b + c)
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Correct answer: B. s = (a + b + c) / 2

Semi-perimeter = half the perimeter = (a+b+c)/2. The other options misstate.

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As per your syllabus, what is HERON's FORMULA for the area of a triangle with sides a, b, c and semi-perimeter s?

  1. (1/2)(a + b + c)
  2. √[s(s−a)(s−b)(s−c)]
  3. s(s−a)(s−b)(s−c)
  4. √(s² − a² − b² − c²)
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Correct answer: B. √[s(s−a)(s−b)(s−c)]

**Heron's formula:** area = √[s(s−a)(s−b)(s−c)]. The other options misstate it.

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As per your syllabus, 's Example 5, applying Heron's formula to a triangle with sides 3, 4, 5 gives what area?

  1. 15 square units
  2. √50 square units
  3. 6 square units
  4. 12 square units
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Correct answer: C. 6 square units

s = (3+4+5)/2 = 6; area = √(6×3×2×1) = √36 = 6 sq units. The other options misapply.

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