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Chapter 11 of 12
Important Questions

Heron's Formula

Uttarakhand Board · Class 9 · Mathematics

Most important questions from Heron's Formula for Uttarakhand Board Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

30 questions20 flashcards4 concepts

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An illustration showing a triangular park with given side lengths (40m, 32m, 24m) but no height, posing the problem of finding its area without height.
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30 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following are required to use Heron's Formula? (Select all correct answers)

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Length of side a, Length of side b, Length of side c

Heron's Formula requires only the lengths of all three sides (a, b, c) of the triangle. Height and base are not needed.

2multiple choice

If s = 6 and the sides are 3, 4, 5, what are the values of (s-a), (s-b), and (s-c)?

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3, 2, 1

Given sides a=3, b=4, c=5 and s=6: (s-a) = 6-3 = 3, (s-b) = 6-4 = 2, (s-c) = 6-5 = 1.

3multiple choice

For a triangle with sides 3, 4, 5, what is the area using Heron's Formula?

Show answer

6 square units

s = 6, Area = √[6×3×2×1] = √36 = 6 square units. This is a 3-4-5 right triangle, so we can verify: Area = (1/2)×3×4 = 6.

4multiple correct

Which type of triangles can Heron's Formula be applied to? (Select all correct answers)

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Scalene triangles, Isosceles triangles, Equilateral triangles, Right triangles

Heron's Formula can be applied to any triangle as long as you know the lengths of all three sides, regardless of the triangle type.

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Frequently Asked Questions

What are the important topics in Heron's Formula for Uttarakhand Board Class 9 Mathematics?
Heron's Formula covers several key topics that are frequently asked in Uttarakhand Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Heron's Formula — Uttarakhand Board Class 9 Mathematics?
Understand the core concepts first, then work through the 30 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Heron's Formula?
There are 30 practice questions available for Heron's Formula. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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