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find the value of x in the triangle shown below.​

Find The Value Of X In The Triangle Shown Below class=

Answer :

Answer:

[tex]x = \sqrt{28} [/tex]

Step-by-step explanation:

Given,

Base of the triangle = 6

Hypotenuse of the triangle = 8

Let the height of the triangle = x

Therefore, According to Pythagoras Theorem,

[tex] {8}^{2} - {6}^{2} = {x}^{2} [/tex]

[tex] = > 64 - 36 = {x}^{2} [/tex]

[tex] = > 28 = {x}^{2} [/tex]

[tex] = > x = \sqrt{28} (ans)[/tex]

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