abbygail91
abbygail91 abbygail91
  • 14-07-2020
  • Mathematics
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What is the value of x the triangle? PLS HELP

What is the value of x the triangle PLS HELP class=

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AL2006
AL2006 AL2006
  • 14-07-2020

-- This is a right triangle. So you KNOW that

(one leg)² + (other leg)²  =  (hypotenuse)²

-- Also, since the acute angles are equal, the legs must be equal ... both x .

-- Plugging into the formula:

x² + x² = (4)²

2x²  =  (4)²

2x²  =  16

x²  =  8

√x²  =  √8

x  =  √8

x = √(4 · 2)

x = √4  ·  √2

x  =  2 · √2

(That's choice D)

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