find the area of the triangle 15cm, 18cm, 5cm

Question

find the area of the triangle 15cm, 18cm, 5cm

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Philomena 2 weeks 2021-09-02T20:44:18+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-02T20:45:28+00:00

    Answer:

    32.62\:\mathrm{cm^2}

    Step-by-step explanation:

    The area of a triangle with side lengths a, b, and c is given by:

    Let s=\frac{a+b+c}{2} (semi-perimeter)

    A=\sqrt{s(s-a)(s-b)(s-c)}

    We’re given three side lengths with lengths 15 cm, 18 cm, and 5 cm. Therefore, the semi-perimeter, s, is equal to \frac{15+18+5}{2}=\frac{38}{2}=19.

    Thus, the area of this triangle is:

    A=\sqrt{19(19-18)(19-15)(19-5)},\\A=\sqrt{19\cdot 1\cdot 4\cdot 14},A=\sqrt{1064}=32.6190128606\approx \boxed{32.62\:\mathrm{cm^2}}

    0
    2021-09-02T20:46:11+00:00

    Answer:

    38

    Step-by-step explanation:

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