Question

What is the value of x? Also have 2 more questions if anyone can help! ASAP!!

Answer 1

The correct answer is: [D]: " 8√2 " .
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Since this is a "45-45-90" triangle;

and we are given that one of the "non-hypotenuse sides" is "8" ;

The other non-hypotenuse side is "8"; and the hypotenuse, "h", (as denoted in the image), is equal to: "8√2"

Note: The rule for "45-45-90" triangles: the sides are "x, x, and x√2" ; in which: "x√2" is the hypotenuse.
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Answer 2

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Isosceles triangle
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⇒ the other length is also 8

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Formula
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a² + b² = c²

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Apply formula and solve for h
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8² + 8² = h²
h² = 64 x 64
h² = 128
h = √128
h = √(64 x 2)
h= 8√2

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Answer: h = 8√2 (Answer D)
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