Respuesta :

Answer:

x=8

Step-by-step explanation:

What you do is the Pythagorean Theorem.

c^2=a^2+b^2. We have c which is 10 and we have a which is 6.

10^2=6^2+x^2.

100=36+x^2.

64=x^2. You will then square root it to get

x=8

As we know that,

According to the Pythagoras Theorem,

[tex] {h}^{2} = \: {b}^{2} + {p}^{2} [/tex]

[tex] = > \: {10}^{2} = \: {6}^{2} + {x}^{2} [/tex]

[tex]= > \: {10}^{2} - \: {6}^{2} = {x}^{2} [/tex]

[tex]= > \: 100 - \: 36 = {x}^{2} [/tex]

[tex]= > \: 64 = {x}^{2} [/tex]

[tex]= > \: {8}^{2} = {x}^{2} [/tex]

Squares of x and 8 is cancelled.

[tex]= > 8 \: = x[/tex]

[tex] = > \: x = 8 \: [/tex]

8 is perpendicular.

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