We appreciate your visit to Find the area of a triangle with legs that are 16 m 12 m and 8 m A 38 2 m² B 46 5 m². This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To calculate the area of a triangle with 3 sides given, we use Heron's formula.
Heron's formula is given below;
[tex]\begin{gathered} A=\sqrt[]{s(s-a)(s-b)(s-c)} \\ \text{where s is the semi perimeter} \\ s=\frac{a+b+c}{2} \\ \text{where } \\ a=8m \\ b=12m \\ c=16m \\ \end{gathered}[/tex]Thus,
[tex]\begin{gathered} s=\frac{8+12+16}{2} \\ s=\frac{36}{2} \\ s=18m \end{gathered}[/tex][tex]\begin{gathered} A=\sqrt[]{s(s-a)(s-b)(s-c)} \\ A=\sqrt[]{18(18-8)(18-12)(18-16)} \\ A=\sqrt[]{18\times10\times6\times2} \\ A=\sqrt[]{2160} \\ A=\pm46.4758m^2 \\ \text{Area cannot be negative, thus} \\ A=46.4758m^2 \\ A\approx46.5m^2 \end{gathered}[/tex]Therefore, the area of the triangle with legs 16m, 12m, and 8m is 46.5 square meters
The correct answer is option B.
Thanks for taking the time to read Find the area of a triangle with legs that are 16 m 12 m and 8 m A 38 2 m² B 46 5 m². We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
