41.2k views
5 votes
Sara says the △KLM is a right triangle. Is she correct? Explain

Sara says the △KLM is a right triangle. Is she correct? Explain-example-1
User Taras
by
5.4k points

2 Answers

3 votes

Answer:

yea kim form 90 degree angle

Explanation:

User Mohammad Hossein
by
5.3k points
3 votes

well, we don't know, however we know from the pythagorean theorem that the square of the two perpendicular legs added together give the slanted leg square, or namely that a² + b² = c², let's see, hmmm say a = 11in and b = 14in


\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{15}\\ a=\stackrel{adjacent}{11}\\ b=\stackrel{opposite}{14}\\ \end{cases}~\hfill 15^2=11^2+14^2 \\\\\\ 225=121+196\implies 225\\e 317~~\bigotimes~\hfill \begin{array}{llll} \textit{they're not equal}\\ \measuredangle L\textit{ is not a right-angle}\\ \textit{therefore }\triangle KLM\\ \textit{is not a right triangle} \end{array}

User Apaul
by
4.7k points