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Area of a triangle from its three sides by Heron's formula

This type of question, asked 8 times: CDS 2 2016, CDS 2 2017, CDS 2 2018, CDS 1 2019, CDS 2 2020, CDS 2 2022, CDS 2 2024, CDS 2 2025. All 8 questions below, oldest first.

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  1. Question 1

    CDS 2 2016

    68
    What is the area of a triangle with sides of length 12 cm, 13 cm and 5 cm ?

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  2. Question 2

    CDS 2 2017

    60
    What is the area of the triangle whose sides are 51 cm, 37 cm and 20 cm ?

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  3. Question 3

    CDS 2 2018

    75
    The sides of a triangle are 5 cm, 6 cm and 7 cm. The area of the triangle is approximately

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  4. Question 4

    CDS 1 2019

    57
    The sides of a triangle are 30 cm, 28 cm and 16 cm respectively. In order to determine its area, the logarithm of which of the quantities are required ?

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  5. Question 5

    CDS 2 2020

    68
    The two sides of a triangle are 40 cm and 41 cm. If the perimeter of the triangle is 90 cm, what is its area ?

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  6. Question 6

    CDS 2 2022

    95
    A triangle has side lengths x cm, x + 13 cm and x + 26 cm. If its area is 126 square cm, then what is the value of x ?

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  7. Question 7

    CDS 2 2024

    50
    What is the area of a triangle having sides 4, 4 and 6 units ?

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  8. Question 8

    CDS 2 2025

    75
    The sides of a triangle are 11 cm, 60 cm and 61 cm. What is the area of the triangle formed by joining the mid-points of the sides of the triangle?

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