Question

Find the unknown side in thr following right
angle ​

Answer 1

Given : The Base of a right angled triangle is 12 and its Hypotenuse is 13 .

To Find : Find the Height of Triangle

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SolutioN : For Solving this question we need to apply the Pythagoras theorem . Let's Solve :

$\maltese$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ {Hypotenuse}^{2} = {Height}^{2} + {Base}^{2} }}}}}$

$\maltese$ Calculating the Height :

$\begin{gathered} \qquad :\implies \; \; \sf { {Hypotenuse}^{2} = {Height}^{2} + {Base}^{2} } \\ \\ \end{gathered}$

$\begin{gathered} \qquad :\implies \; \; \sf { {13}^{2} = {Height}^{2} + {12}^{2} } \\ \\ \end{gathered}$

$\begin{gathered} \qquad :\implies \; \; \sf { 169 = {Height}^{2} + 144 } \\ \\ \end{gathered}$

$\begin{gathered} \qquad :\implies \; \; \sf { 169 - 144 = {Height}^{2} } \\ \\ \end{gathered}$

$\begin{gathered} \qquad :\implies \; \; \sf { 25 = {Height}^{2} } \\ \\ \end{gathered}$

$\begin{gathered} \qquad :\implies \; \; \sf { \sqrt{25} = Height } \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; :\implies \; {\underline{\boxed{\pmb{\sf{ Height = 5 \; units }}}}} \; {\red{\bigstar}} \\ \\ \end{gathered}$

$\therefore \;$ Height of the Triangle is 5 .

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