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27 votes
27 votes
Please help me

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

Please help me This is a 45-45-90 triangle. What is the measure of x? X х X = V[?]-example-1
User Madflow
by
2.5k points

1 Answer

23 votes
23 votes

Answer:

x =
√(3)

Explanation:

the ratio of side to hypotenuse in a right triangle is 1 :
√(2)

in this problem we can use 'x' in place of 1 and
√(6) in place of
√(2) to create a proportion like this:

1/x =
√(2)/
√(6)

cross-multiply to get:


√(2)·x =
√(6)

x =
(√(6))/(√(2))

x =
√(3)

User FurryWombat
by
3.2k points