Question

Find the area of the triangle described below. Round to the nearest hundredth.b = 20, a = 29, c = 21

Answer 1

We want to find the area of the triangle given te sides

b = 20

a = 29

c = 21

Note: Hero formula for calculating the Area of a Triangle

We will first find S

`\begin{gathered} S=(a+b+c)/(2) \\ S=(29+20+21)/(2) \\ S=35 \end{gathered}`

To find the Area

`\begin{gathered} Area=\sqrt[]{S(S-a)(S-b)(S-c)} \\ Area=\sqrt[]{35(35-29)(35-20)(35-21)} \\ Area=\sqrt[]{35*6*15*14} \\ Area=\sqrt[]{44100} \\ Area=210 \end{gathered}`

Therefore, the area is

`Area=210`