Final answer:
To find the hypotenuse of a right-angled triangle with sides 4.8 cm and 2 cm, apply the Pythagorean theorem. The calculation shows that the hypotenuse length is approximately 5.2 cm.
Step-by-step explanation:
To calculate the length of the hypotenuse in a right-angled triangle with one side of 4.8 cm and the other side of 2 cm, we will use the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). This can be expressed as a² + b² = c².
Given side 1 (a) is 4.8 cm and side 2 (b) is 2 cm, we can substitute these values into the theorem:
4.8² + 2² = c²
Calculating each square gives us:
23.04 (4.8²) + 4 (2²) = c²
Adding these together gives us:
23.04 + 4 = 27.04
Now, to find the value of c (the hypotenuse), we need to take the square root of 27.04:
c = √27.04
Thus, c ≈ 5.2 cm.
The length of the hypotenuse is approximately 5.2 cm.