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What is the value of x in the triangle? a 45-45-90 triangle with leg length x and hypotenuse length 4

Sagot :

MrRoyal

Answer:

[tex]x = 2\sqrt 2[/tex]

Explanation:

Given

[tex]Hypotenuse = 4[/tex]

Required

Find x

Since the triangle is a 45-45-90 triangle, the following relationship exists

[tex]x^2 + x^2 = 4^2[/tex] --- i.e. the other legs are equal

So, we have:

[tex]2x^2 = 16[/tex]

Divide both sides by 2

[tex]x^2=8[/tex]

Take square roots of both sides

[tex]x = \sqrt 8[/tex]

Simplify

[tex]x = 2\sqrt 2[/tex]

supermeatball06

Answer:

7√2

Explanation:

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