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Heron's Formula

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Area of a Triangle by Heron's Formula

Subtopic

Area of a Triangle by Heron's Formula under Heron's Formula for Grade 9 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In a triangle with sides 14 cm14\text{ cm}, 16 cm16\text{ cm}, and 18 cm18\text{ cm}, the semi-perimeter is:

    A.

    24 cm24\text{ cm}

    B.

    48 cm48\text{ cm}

    C.

    21 cm21\text{ cm}

    D.

    27 cm27\text{ cm}

  2. 2.

    Find the area of a triangle if s=9 cms=9\text{ cm}, s−a=3 cms-a=3\text{ cm}, s−b=3 cms-b=3\text{ cm}, and s−c=3 cms-c=3\text{ cm}.

    A.

    93 cm29\sqrt{3}\text{ cm}^2

    B.

    27 cm227\text{ cm}^2

    C.

    33 cm23\sqrt{3}\text{ cm}^2

    D.

    81 cm281\text{ cm}^2

  3. 3.

    The perimeter of a triangle is 100 cm100\text{ cm}. Its semi-perimeter is:

    A.

    50 cm50\text{ cm}

    B.

    200 cm200\text{ cm}

    C.

    25 cm25\text{ cm}

    D.

    10 cm10\text{ cm}

Download the worksheet for Heron's Formula - Area of a Triangle by Heron's Formula to practice offline. It includes additional chapter-level practice questions.

Application of Heron's Formula in finding Areas of Quadrilaterals

Subtopic

Application of Heron's Formula in finding Areas of Quadrilaterals under Heron's Formula for Grade 9 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    In the quadrilateral ABCDABCD, diagonal ACAC splits it. If Area(△ABC)=K1Area(\triangle ABC) = K_1 and Area(△ADC)=K2Area(\triangle ADC) = K_2, the quadrilateral area is K1+K2K_1 + K_2. This is based on which property?

    A.

    Area Addition Property

    B.

    Multiplicative Property

    C.

    Angle Sum Property

    D.

    Heron's Law

  2. 2.

    If the side lengths of a triangle are doubled, the semi-perimeter ss will:

    A.

    Stay the same

    B.

    Double

    C.

    Triple

    D.

    Quadruple

  3. 3.

    A diagonal BDBD of a quadrilateral ABCDABCD is 88 cm. If the sides are AB=5,BC=6,CD=5,DA=6AB=5, BC=6, CD=5, DA=6, then △ABD\triangle ABD and △CBD\triangle CBD have sides:

    A.

    (5, 6, 8) and (5, 6, 8)

    B.

    (5, 5, 8) and (6, 6, 8)

    C.

    (5, 6, 8) and (6, 5, 8)

    D.

    (8, 8, 5) and (8, 8, 6)

Download the worksheet for Heron's Formula - Application of Heron's Formula in finding Areas of Quadrilaterals to practice offline. It includes additional chapter-level practice questions.

Heron's Formula - CBSE Class 9 Maths Notes & Revision | Krit.club