Question

the hypotenuse of a right angle , 17 cm long if one of the remaining two sides of length 8 cm find the length of the third side

Answer 1

By Pythagoras theorem
AC*AC=BC*BC+AB*AB
289=64+other side square
other side square=289-64
that is 225
therefore other side is 15

Answer 2

Question:

The hypotenuse of a right triangle is 17 cm long if one of the remaining two sides is of length 8cm. Find the length of the third side

Answer:

Hence, the length of third side is 15cm.

Step-by-step Explanation:

Given:

The hypotenuse of a right triangle is 17cm long.

If one of the remaining two sides is of length 8cm.

To Find:

Length of 3rd side

Solution:

Let the 3rd side be x

$\begin{gathered}\\{\large {\underline{ \underline{ \sf{ \pmb{\orange{Using Pythagoras Theorem}}}}}}} \\ \\ :\implies \underline{ \boxed{ \frak{{(h)}^{2}={(a)}^{2}+{(b)}^{2}}}} \color{navy} \bigstar \\  \\   :\implies \sf{{(17)}^{2}={(8)}^{2}+{(x)}^{2}} \\  \\ :\implies \sf{289=64+{(x)}^{2}} \\  \\ :\implies \sf{289-64={(x)}^{2}} \\  \\ :\implies \sf{225={(x)}^{2}} \\  \\ :\implies \sf{\sqrt{225}=x} \\  \\ : \implies   \underline{\boxed{ \frak{x = 15 \: cm}}} \pink \bigstar  \\  \\ \sf \: ∴ \underline {Hence, the length of third side is  \textbf{ \textsf{15 cm}}} . \end{gathered}$