If the hypotenuse of a right angle-triangle isosceles triangle is 2cm. What is the area of the triangle?
Answer Details
In an isosceles right triangle, the two legs have the same length, which is equal to √2 times the length of one of the legs. Let's assume that each leg has a length of x, then the hypotenuse (which is 2 cm in this case) can be expressed as:
x√2 = 2
Solving for x, we get:
x = 2/√2 = √2
The area of an isosceles right triangle can be found by dividing the product of the two legs by 2, so the area in this case would be:
(√2 * √2)/2 = 1 cm²
Therefore, the correct answer is:
- 1 cm²