If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?
Answer Details
In a right-angle isosceles triangle, the two legs are congruent to each other. Let x be the length of each leg. By the Pythagorean theorem, we know that:
x² + x² = 2²
Simplifying the equation gives:
2x² = 4
Dividing both sides by 2, we have:
x² = 2
Taking the square root of both sides gives:
x = √2
Therefore, the length of each leg is √2, which is approximately 1.41.
So, the correct answer is not in the options given, but it is approximately equal to, √2.