Question

the hypotenuse of a right triangle is 17 cm long it one of the remaining two side is of length 8 cm find the lenght of the third side.​

Answer 1

Answer:

Hypotenuse = 17cm

one side = 8 cm

Other side = 15cm

Step by step explanation:

Hypotenuse = 17cm

potenuse = 17cmOne side = 8cm

potenuse = 17cmOne side = 8cmOther side = ?

Let us apply Pythagoras Theorem

Pythagoras theorem =

${ab}^{2} + {bc}^{2} = {ac}^{2}$

${8}^{2} + {bc}^{2} = {17}^{2}$

$64 + {ac}^{2} = 289$

${ac}^{2} = 289 - 64$

${ac}^{2} = 225$

$ac = \sqrt{225}$

$ac = \sqrt{15 \times 15}$

$ac = 15$

So the length of third side is 15 cm

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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 .