Answer:
The length of missing side of triangle is 10 m.
Step-by-step explanation:
Solution :
Here, we have given that the two sides of triangle are 6 m and 8 m.
Finding the third side of triangle by pythagorean theorem formula :
[tex]{\longrightarrow{\pmb{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}}[/tex]
- [tex]\pink\star[/tex] a = 6 m
- [tex]\pink\star[/tex] b = 8 m
- [tex]\pink\star[/tex] c = ?
Substituting all the given values in the formula to find the third side of triangle :
[tex]\begin{gathered} \qquad{\longrightarrow{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = {(6)}^{2} + {(8)}^{2}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = (6 \times 6)+ (8 \times 8)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = (36)+ (64)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = 36 + 64}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} =100}}}\\\\\qquad{\longrightarrow{\sf{c = \sqrt{100}}}}\\\\\qquad{\longrightarrow{\sf{c = 10 \: m}}}\\\\\qquad\star{\underline{\boxed{\sf{\red{c = 10 \: m}}}}}\end{gathered}[/tex]
Hence, the length of missing side of triangle is 10 m.
[tex]\rule{300}{2.5}[/tex]
