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Luv2Teach

Answer:

d. [tex]8\sqrt{2}[/tex]

Step-by-step explanation:

This is a 45-45-90 right triangle with a Pythagorean triple of (x, x, x√2).  Because this is a 45-45-90, both legs have the same measure, namely 8.  Therefore, according to the Pythagorean triple, x = 8 (NOT the x in your diagram...the x in the Pythagorean triple).  That means that the hypotenuse has a measure of [tex]8\sqrt{2}[/tex], which is d.

The value of x will be 8√2. Then the correct option is D.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The right-angle triangle is given below.

The value of x will be given by the sine rule. Then we have

sin 45 = 8 / x

 1/ √2 = 8 / x

        x = 8√2

Then the correct option is D.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

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