Section: Math Section 3

54)

The hypotenuse of an isosceles right triangle is 2"
Column A		Column B
length of one leg of the triangle		1"

1. if the quantity in Column A is greater
2. if the quantity in Column B is greater
3. if the two quantities are equal
4. if the relationship cannot be determined from the information given

The Pythagorean Theorem asserts that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a² + b² = c².

If we know that the hypotenuse is 2, then we can write a² + b² = 4. We also know that the other 2 sides must be equal because it is an isosceles triangle. Therefore, we can say 2 + 2 = 4.

So, the length of one leg of the triangle must be the square root of 2, which equals 1.4142".