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Ken Ko · Answer 1 · 2023-02-20T16:34:55+0000

We have to calculate the area of a triangle where we only know the lengths of the sides.

We can apply the Heron's formula:

$A=\sqrt[]{p(p-q)(p-r)(p-s)}$

where q, r and s are the side's lengths and p is half the perimeter:

p=(q+r+s)/(2)=(950+290+880)/(2)=(2120)/(2)=1060

Then, we can calculate the area as:

$\begin{gathered} A=\sqrt[]{1060\cdot(1060-950)\cdot(1060-290)\cdot(1060-880)} \\ A=\sqrt[]{1060\cdot110\cdot770\cdot180} \\ A=\sqrt[]{16160760000} \\ A\approx127124.98\operatorname{cm} \\ A\approx127125\operatorname{cm} \end{gathered}$

Answer: the area of the triangle is 127,125 cm^2.

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