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Dominik [7]
2 years ago
9

Helppp(◕દ◕)

Mathematics
2 answers:
Aleksandr-060686 [28]2 years ago
7 0

Answer:

13 cm

Step-by-step explanation:

Use Pythagora's theorem to solve for the hypotenuse of the triangle:

a^2+b^2=c^2

Where a and b are the two shorter legs, and c is the hypotenuse.

Replace the values in and solve for c:

5^2+12^2=c^2\\25+144=c^2\\169=c^2\\13=c

rjkz [21]2 years ago
4 0

Answer:

The length of missing side of triangle is <u>13 cm</u>.

Step-by-step explanation:

<u>Solution</u> :

Here, we have given that the two sides of triangle are 5 cm and 12 cm.

Finding the third side of triangle by pythagoras theorem formula :

{\longrightarrow{\pmb{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}}

  • \pink\star a = 5 cm
  • \pink\star b = 12 cm
  • \pink\star c = ?

Substituting all the given values in the formula to find the third side of triangle :

\begin{gathered}\qquad{\longrightarrow{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = {(5)}^{2} + {(12)}^{2}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = {(5 \times 5)} + {(12 \times 12)}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = {(25)} + {(144)}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = 25 + 144}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = 169}}}\\\\\qquad{\longrightarrow{\sf{c=  \sqrt{169}}}}\\\\\qquad{\longrightarrow{\sf{c=  \sqrt{13 \times 13}}}}\\\\\qquad{\longrightarrow{\sf{c=  13 \: cm}}}\\\\ \qquad\star{\underline{\boxed{\sf{\red{c=  13 \: cm}}}}}\end{gathered}

Hence, the length of missing side is 13 cm.

\rule{300}{2.5}

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