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please someone help me!!

Please Someone Help Me class=

Sagot :

Answer:

x = 6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Here we need to use the Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2

STEP 1: Define your variables

The legs of the triangle are a and b, and the hypotenuse is c.

a = x

b = 4

c = 14

STEP 2: Plug your variables into the equation and solve

x^2 + 4^2 = 14^2

x^2 + 16 = 196

x^2 + 16 - 16 = 196 - 16

x^2 = 180

[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{180}[/tex]

STEP 3: Simplify

Since the question asks you to put the equation in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.

[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{180}[/tex]

x = [tex]\sqrt{36}[/tex] * [tex]\sqrt{5}[/tex]

x = 6[tex]\sqrt{5}[/tex]

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