According to the Pythagorean theorem, the sum of the squares of the legs is equal to the square of the hypotenuse.
Let the second leg be x cm.
Let’s use the formula, compose and solve the equation:
x ^ 2 + 6 ^ 2 = (√52) ^ 2,
x ^ 2 + 36 = 52,
x ^ 2 = 16,
x = 4 cm.
The area of a right-angled triangle is half the product of its legs:
1/2 * 4 * 6 = 12 cm2.
Answer: the area of a right-angled triangle is 12 cm2.
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