Question

Find the area of the triangle described below. Round to the nearest hundredthb29, 20,6 = 17

Answer 1

We can use Heron's formula to determine the area of a triangle when given the lengths of the sides.

Heron's formula

`\begin{gathered} A=√(s\left(s-a\right?\left(s-b\right)\left(s-c\right)) \\ \text{ where} \\ s=(a+b+c)/(2) \end{gathered}`

where a, b, and c are the lengths of the sides.

Substituting with b = 29, a = 20, and c = 17, the area of the triangle is:

`\begin{gathered} s=(20+29+17)/(2) \\ s=33 \\ A=√(33\left(33-20\right)\left(33-29\right)\left(33-17\right)) \\ A=√(33\cdot13\cdot4\cdot16) \\ A=√(27456) \\ A\approx165.70 \end{gathered}`