Question

What is the value of x?

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x =

Answer 1

Answer:

x = 3

Step-by-step explanation:

Since you hace an equilateral triangle, all sides are equal, so we can say that any side is equal to the other.

6x-3 = 5x

6x - 5x = 3

x = 3

Answer 2

Answer:

x = 3

Step-by-step explanation:

Let

• AB = 6x - 3

• BC = 5x

• AC = 3x + 6

Since this is an equilateral triangle, all the sides have the same size, that is, AB = BC = AC.

We can choose any pair of sides to find out the value of x. Let's choose AB and BC.

AB = BC

6x - 3 = 5x

6x - 5x = 3

x = 3

We can verify this by replacing x = 3 in the expressions for the sides.

AB = 6x - 3 = 6 × 3 - 3 = 18 - 3 = 15

BC = 5x = 5 × 3 = 15

AC = 3x + 6 = 3 × 3 + 6 = 9 + 6 = 15

We have verified that AB = BC = AC for x = 3.