Question

The hypotenuse of a right triangle is 17 cm long. If one of the remaining two sides is on
length 8 cm, find the length of the third side.
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Answer 1

Step-by-step explanation:

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Answer 2

Given :

The hypotenuse of a right triangle is 17 cm long .

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

To Find :

Length of third side .

Solution :

$\longmapsto\tt{Let\:third\:side\:be=x}$

Using Pythagoras Theorem :

$\longmapsto\tt\bf{{(h)}^{2}={(a)}^{2}+{(b)}^{2}}$

$\longmapsto\tt{{(17)}^{2}={(8)}^{2}+{(x)}^{2}}$

$\longmapsto\tt{289=64+{(x)}^{2}}$

$\longmapsto\tt{289-64={(x)}^{2}}$

$\longmapsto\tt{225={(x)}^{2}}$

$\longmapsto\tt{\sqrt{225}=x}$

$\pink\longmapsto\:\large\underline{\boxed{\bf\green{x}\red{=}\blue{15\:cm}}}$

So , The Length of third side is 15 cm .