Question

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

Answer 1

If triangle ABC assume right angle at B
so,
Ac = 17cm
Ab= 8 cm

BCsquare = ACsquare - AB square
BC = √(17)square - (8)square
Bc=√289-64
BC=√225
BC=15 cm

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

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

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