To find the length of the diagonal AB:
You would first use the Pythagorean Theorem on the bottom of the box rectangle to find the diagonal CB = 5 cm
Then use CB as the area formula for a rectangle of the triangle ACB, with AB being the hypotenuse .
AB is approximately = 13 cm
To find the length of the diagonal AB, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we are given the length of one of the sides, CB, as 5 cm. CB is a side of the rectangle on the bottom of the box. We can use this information to find the length of the diagonal CB.
The Pythagorean Theorem can be written as:
AB^2 = AC^2 + BC^2
Since AB is the hypotenuse, we have:
AB^2 = AC^2 + CB^2
Substituting the values we have:
AB^2 = AC^2 + 5^2
Now, since we want to find the length of AB, we can solve the equation for AB. Taking the square root of both sides gives us:
AB = √(AC^2 + 5^2)
We are not given the value of AC, so we cannot calculate the exact length of AB. However, we can say that AB is approximately 13 cm based on the information given.