Answer:

Step-by-step explanation:
Use the Pythagorean theorem:

a and b are the legs and c is the hypotenuse. Insert the values:

Simplify exponents using the rule
:

Simplify addition:

Find the square root:

Simplify in radical form: Find a common factor of 24 that is a perfect square:

Separate:

Simplify:

Finito.
Answer= X>3
5x>15
Divide both sides by 5x

5x will cancel with 15. You get 3
So, x>3
The correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle are (6,6√3, 12).
<h3>What is the right-angled triangle?</h3>
A triangle has three angles of 30-60 and 90 degrees in which the two sides are perpendicular to each other.
The three sides of the triangle will be calculated by applying the Pythagorean theorem:-
The sum of the square sides will be equal to the square of the third side.
For sides (6,6√3, 12)
12² = 6² + (6√3)²
144 = 36 + (36 x 3)
144 = 36 + 108
144 = 144
Therefore the correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle (6,6√3, 12).
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