The missing number from the triplet x, 48, 52, using the triplet 5, 12, 13, is found to be 5.
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.
A Pythagoras triplet, is the combination of c, b, and a.
If all three sides of a right triangle are multiplied by the same quantity, we get another right triangle, where the sides of both make Pythagoras Triplet.
In the question, we are given a unique triplet: 5,12, 13, and are asked to find x in x, 48, 52.
We divide the second triplet by the first one, to get:
x/5, 48/12, 52/13,
or, x/5, 4, 4.
The ratio of the two triplets will always be a constant, thus
x/5 = 4,
or, x = 5*4 = 20.
Thus, the missing number from the triplet x, 48, 52, using the triplet 5, 12, 13, is found to be 5.
Learn more about the Pythagoras Theorem at
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