jus4n
Answered

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find the value of x - Pythagorean theorem

Find The Value Of X Pythagorean Theorem class=

Sagot :

Answer:

B. 35

Step-by-step explanation:

[tex] {12}^{2} + {x}^{2} = {(x + 2)}^{2} [/tex]

[tex]144 + {x}^{2} = {x}^{2} + 4x + 4[/tex]

[tex]144 = 4x + 4[/tex]

[tex]4x = 140[/tex]

[tex]x = 35[/tex]

cygnusabc00

Answer:

B.35 is the correct answer

Step-by-step explanation:

. Hello!

As, we know Pythagorean theorem is

a²+b²=c²,

where a&b are two sides of the triangle and c is it's hypotenus.

so, assuming 12=a, x=b and x+2i=c

  • a²+b²=c²

  • (12)²+(x)²=(x+2)²...substitute values
  • 144+x²=x²+4x+4...squaring it
  • 144+x²-(x²+4x+4)=0...shift x²+4x+4 to the left
  • 144+x²-x²-4x-4=0...equate the similar values
  • 140-4x=0....move 140 to the right to solve for it
  • -4x=-140....divide both sides by 4
  • x=35.... finally we get 35.

If you have any questions ask me thx

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