The hypotenuse of the right triangle, with legs of 6 and 4√3 feet is 2√21 feet, computed using the Pythagoras Theorem.
The Pythagoras Theorem states that in a right triangle, the square of the hypotenuse is always equal to the sum of the squares of the other two legs.
If the hypotenuse is taken as a, and the two legs are taken as b and c, then by the Pythagoras Theorem, we can write that:
a² = b² + c².
In the question, we are given that a right triangle, has legs of lengths 6 feet and 4√3 feet each, and we are asked to find the length of the hypotenuse.
Thus, taking b = 6 and c = 4√3, in the above equation, we get:
a² = 6² + (4√3)²,
or, a² = 36 + 48,
or, a² = 84,
or, a² = (2√21)²,
or, a = 2√21.
Thus, the hypotenuse of the right triangle, with legs of 6 and 4√3 feet is 2√21 feet, computed using the Pythagoras Theorem.
Learn more about the Pythagoras Theorem at
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