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1 vote
This is a 45-45-90 triangle.

What is the measure of x?
X
X
V6
X=
= V[?]

This is a 45-45-90 triangle. What is the measure of x? X X V6 X= = V[?]-example-1

2 Answers

5 votes

Answer: √3.

Explanation:

In a 45-45-90 triangle, the two legs are congruent, which means that both x and x are equal in length. The hypotenuse is √2 times the length of one of the legs.

One side is √6, so you can set up an equation like this:

x = √6 / √2

To simplify this expression, you can rationalize the denominator by multiplying both the numerator and denominator by √2:

x = (√6 / √2) * (√2 / √2)

x = (√12 / 2)

Now, simplify the square root:

x = (√(4 * 3) / 2)

x = (√4) * (√3) / 2

x = (2√3) / 2

Finally, simplify further:

x = √3

So, the measure of x is √3.

User AlwaysVBNET
by
8.4k points
1 vote
X=60 your address will cost me a little too far for tyyy
User Enrico Sada
by
8.2k points

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