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PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT!!!

The triangle below is equilateral. Find the length of side x to the nearest tenth.


PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT The Triangle Below Is Equilateral Find The Length Of Side X To The Nearest Tenth class=

Sagot :

Answer:

5.7

Step-by-step explanation:

Equilateral triangle means all the sides are the same length. So each side is basically [tex]\sqrt{11}[/tex] times 2

After we know that, we then look to the Pythagorean theorum:

a^2 + b^2 = c^2

Before that, we have to find what the length of the hypotenuse is. 90 degrees equals [tex]\sqrt{11}[/tex] times 2. So plug this info into the equation:

[tex]\sqrt{11}[/tex]^2 + b^2 = [tex]2\sqrt{11}[/tex]^2

11 + b^2 = 4(11)

11 + b^2 = 44

b^2 = 33

b = [tex]\sqrt{33}[/tex]

b = 5.744 = 5.7