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    The sides of a triangle are 82 cm, 18 cm, and 80 cm. What is its area? (in cm²)
    Question

    The sides of a triangle are 82 cm, 18 cm, and 80 cm. What is its area? (in cm²)

    A.

    670

    B.

    712

    C.

    731

    D.

    720

    Correct option is D

    Given:

    Sides of triangle = 82 cm, 18 cm, 80 cm

    Find area 

    Formula Used:

    Semi-perimeter:

    s =a+b+c2 \frac{a+b+c}{2}​​

    Area of triangle = s(sa)(sb)(sc)\sqrt{s(s-a)(s-b)(s-c)}​​

    Solution:

    s =82+18+802=1802 \frac{82 + 18 + 80}{2} = \frac{180}{2}​ = 90

    Area of triangle  = 90(9082)(9018)(9080)\sqrt{90(90-82)(90-18)(90-80)}​​

    90×8×72×10\sqrt{90 \times 8 \times 72 \times 10}​​

    720×720\sqrt{720 \times 720}​​

    = 720 cm²

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