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Herons Formula Maths - Herons Formula

Jharkhand Board (JAC) - STD 9 - Maths (Jharkhand - English Medium). 102 questions in this chapter.

Question types

Herons Formula question types

102 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

102
Questions
5
Question groups
5
Question types
Sample Questions

Herons Formula questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q1 Mark
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is $12\sqrt{2}\text{cm},$ then area of the triangle is:
  • A
    $24\sqrt{2}\text{cm}^2$
  • B
    $24\sqrt{3}\text{cm}^2$
  • C
    $48\sqrt{3}\text{cm}^2$
  • ✓
    $64\sqrt{3}\text{cm}^2$

Answer: D.

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Q 2M.C.Q1 Mark
The sides of a triangle are $11m, 60\ m$ and $61\ m$. The altitude to the smallest side is:
  • A
    $11\ cm$
  • B
    $66\ cm$
  • C
    $50\ cm$
  • ✓
    $60\ cm$

Answer: D.

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Q 3M.C.Q1 Mark
The length of each side of an equilateral triangle of area $4\sqrt{3}\text{cm}^2,$ is:
  • ✓
    $4\text{cm}$
  • B
    $\frac{4}{\sqrt{3}}\text{cm}$
  • C
    $\frac{\sqrt{3}}{4}\text{cm}$
  • D
    $3\text{cm}$

Answer: A.

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Q 4M.C.Q1 Mark
If every side of a triangle is doubled, then increase in the area of the triangle is:
  • A
    $100\sqrt{2}\%$
  • B
    $200\%$
  • ✓
    $300\%$
  • D
    $400\%$

Answer: C.

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Q 5M.C.Q1 Mark
The sides of a triangle are $7\ cm, 9\ cm$ and $14cm$. Its area is:
  • ✓
    $12\sqrt{5}\text{cm}^2$
  • B
    $12\sqrt{3}\text{cm}^2$
  • C
    $24\sqrt{5}\text{cm}^2$
  • D
    $63\text{cm}^2$

Answer: A.

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Q 164 Marks Questions4 Marks
The lengths of the sides of a triangle are in a ratio of $3 : 4 : 5$ and its perimeter is $144\ cm$. Find the area of the triangle and the height corresponding to the longest side.
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Q 174 Marks Questions4 Marks
A park in the shape of a quadrilateral $ABCD$, has angle $\angle\text{C}=90^\circ,$ $AB = 9m, BC = 12m, CD = 5m, AD = 8m$. How much area does it occupy.
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Q 184 Marks Questions4 Marks
A rhombus sheet, whose perimeter is $32\ m$ and whose diagonal is $10m$ long, is painted on both the sides at the rate of ₹ $5$ per meter square. Find the cost of painting.
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