The problem involves a right-angled triangle, so we use the Pythagorean theorem. The theorem states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides ($

Step 1: Identify the formula. The problem involves a right-angled triangle, so we use the Pythagorean theorem. The theorem states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): c^2 = a^2 + b^2 Step 2: Assign values from the diagram and ensure consistent units. From the diagram, the legs are AC = 3 cm and BC = 4 m. The hypotenuse is AB = x. To use the Pythagorean theorem, all lengths must be in the same unit. Since the hypotenuse x is labeled in 'cm', we will convert BC to centimeters. BC = 4 m = 4 × 100 cm = 400 cm So, a = AC = 3 cm, b = BC = 400 cm, and c = AB = x cm. Step 3: Substitute the values into the Pythagorean theorem. x^2 = (3 cm)^2 + (400 cm)^2 Step 4: Calculate the squares of the sides. x^2 = 9 cm^2 + 160000 cm^2 Step 5: Add the squared values. x^2 = 160009 cm^2 Step 6: Solve for x by taking the square root. x = sqrt(160009 cm)^2 x ≈ 400.0112 cm Rounding to two decimal places: x ≈ 400.01 cm The value of side AB is approximately 400.01 cm. Send me the next one 📸