Question

What is the value of x in this figure?

Answer 1

This is a 45-45-90 triangle  and the ratios of the sides are 1 : 1 : sqrt2  where sqrt2 is the length of the hypotenuse ( longest side)

So the measure of x = 12 sqrt2  which is the first choice.

Answer 2

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The correct option is A.

What is Pythagoras theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

For the given triangle, the value of x can be written as,

x² = 12² + 12²

x² = 144 + 144

x² = 2(144)

x = √2(144)

x = 12√2

Hence, the correct option is A.

Learn more about Pythagoras' Theorem:

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