isaiahhardei1954 isaiahhardei1954
  • 12-06-2021
  • Mathematics
contestada

The triangle below is equilateral. Find the length of side x x in simplest radical form with a rational denominator

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fichoh
fichoh fichoh
  • 13-06-2021

Answer:

x = √30

Step-by-step explanation:

We are given an equilateral triangle, so the angles will all be (180/3). = 60

Therefore, the angle opposite x is 60° ; hence. We can use trigonometry to obtain the value of x

Tan θ = opposite / Adjacent

Tan 60 = x / √10

Tan 60 = √3

Hence,

√3 = x / √10

x = √3 * √10

x = √30

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