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An isosceles right triangle has a hypotenuse length that can be modeled with the function h(x) = sqaure root of 2 The combined
length of the legs can be modeled with the function L(x) = 2x.
Which function, p(x), can be used to find the perimeter of the triangle?
A. P(x)=x/2 √2 + x
B. P(x)=x √2 +2x
C. P(x) = x √2 + 4x
D. P(x) = 2x √2 + 4x

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Respuesta :

tataplayer10

The legs are defined by [tex]L(x) = 2x[/tex]. The Hypotenuse if defined by [tex]h(x) = L(x)\cdot \sqrt{2}[/tex]. The perimeter is defined by:

[tex]p(x) = h(x)+2\cdot L(x) \\~\\p(x) = L(x)\cdot\sqrt{2} +2\cdot L(x) \\~\\p(x) = L(x)\cdot\left(\sqrt{2}+2\right) \\~\\p(x) = 2x\cdot\left(\sqrt{2}+2\right) \\~\\p(x)= 2\sqrt{2}x+4x[/tex]

D. P(x) = 2x √2 + 4x
B
hope this helps
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