Question

Find the value of x - Pythagorean theorem

Answer 1

B.35 is the correct answer

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

Answer 2

B. 35

Explanation:

`{12}^(2) + {x}^(2) = {(x + 2)}^(2)`

`144 + {x}^(2) = {x}^(2) + 4x + 4`

`144 = 4x + 4`

`4x = 140`

`x = 35`