Find the area of an isosceles triangle if the hypotenuse is 2√2.

An error was made in the problem statement. It is required to find the area of an isosceles right-angled triangle.

1. Vertices of the triangle A, B, C. ∠C = 90 °. AB = 2√2 units of measurement. AC = BC.

2. Let’s designate the length of AC and BC by the index “a”

3. Let’s compose an equation using the formula of the Pythagorean theorem:

a² + a² = AB²;

a² + a² = (2√2) ²;

2а² = 8;

a² = 4;

a = √4 = 2.

AC = BC = 2 centimeters.

4. Calculate the area (S) of a given triangle:

S = AB x CE / 2 = 2 x 2/2 = 2 centimeters².

Answer: The area of a triangle is 2 centimeters².