Respuesta :

mlarsen5000

Answer:

Step-by-step explanation:

Because angles A and B are the same, line segments AB and BC are the same.  This means you can use the same variable for both in the Pythagorean theorem.

x²+x²=20²

2x²=400

x²=200

x=√200

x=14.1421356237

clarch19

Answer:

x = 10[tex]\sqrt{2}[/tex]

Step-by-step explanation:

this is a 45-45-90° Δ and the leg to hypotenuse ratio is always 1 : [tex]\sqrt{2}[/tex]

so we can set up a proportion:

20 / [tex]\sqrt{2}[/tex] = x / 1

cross-multiply:

[tex]\sqrt{2}[/tex]x = 20

x = 20 / [tex]\sqrt{2}[/tex], which simplifies to 10[tex]\sqrt{2}[/tex] if you rationalize the denominator

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