Length of the largest side of an isosceles right angle triangle is 30 cm. What…

Understand the Properties: In an isosceles right-angled triangle, the two legs are equal in length. Let the length of each leg be 'a'. The largest side is the hypotenuse, which we are given as 30 cm.

Apply the Pythagorean Theorem: The relationship between the sides is:
a² + a² = hypotenuse²
2 * a² = 30²
2 * a² = 900
a² = 450

Calculate the Area: The area of a right-angled triangle is given by:
Area = 0.5 * base * height
Since the base and height are both 'a':
Area = 0.5 * a * a = 0.5 * a²
Substitute a² = 450:
Area = 0.5 * 450 = 225 cm².