The area of a triangle can be found using the formula:
Area = (1/2) * base * height
In this case, the base of the triangle is 48cm and the hypotenuse is 50cm. Since this is a right triangle, we can use the Pythagorean theorem to find the length of the height. The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So,
c^2 = a^2 + b^2
50^2 = 48^2 + b^2
2500 = 2304 + b^2
b^2 = 2500 - 2304
b = √(2500 - 2304)
b = √(196)
b = 14
So, the height of the triangle is 14cm.
Area = (1/2) * 48 * 14 = 336cm^2