Question

What is the area of this triangle (using herons formula)

Answer 1

Answer:

Solution:

$\implies semi-perimeter\ (s) = \dfrac{10 + 20 + 13}{2} = 21.5$

$\boxed{\boxed{Area = \sqrt{s(s-a)(s-b)(s-c)}}}$

$Area = \sqrt{21.5(21.5-10)(21.5-20)(21.5-13)}$

$Area = \sqrt{21.5 \times 11.5 \times 1.5 \times 8.5}$

$Area = \sqrt{3,152.4375}$

$Area = 56.1465715783 \ cm^2$

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