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Herons Formula Maths - Herons Formula

Maharashtra Board - STD 9 - Maths (MSBSHSE - Semi English Medium). 49 questions in this chapter.

Question types

Herons Formula question types

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

49
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 1MCQ(1M)1 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 2MCQ(1M)1 Mark
The sides of a triangle are $11\ m, 60\ m$ 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 3MCQ(1M)1 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 4MCQ(1M)1 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 5MCQ(1M)1 Mark
The sides of a triangle are $7\ cm, 9\ cm$ and $14\ cm$. 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 124 Mark Question4 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 134 Mark Question4 Marks
A park in the shape of a quadrilateral $A B C D$, has angle $\angle C=90^{\circ}, A B=9 m, B C=12 m, C D=5 m, A D=8 m$. How much area does it occupy.
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Q 144 Mark Question4 Marks
A rhombus sheet, whose perimeter is 32m 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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