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 perimeter 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, you can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (AB) is equal to the sum of the squares of the lengths of the other two sides.
In this case, you already know the length of one side, CB, which is 5 cm. So, you can start by finding the square of CB: CB^2 = 5^2 = 25 cm^2.
Next, you can use the Pythagorean Theorem to find the length of AB. Let's call the length of AB as x. According to the Pythagorean Theorem, x^2 = 25 + AC^2.
Since AC is not given, you would need more information to find the exact length of AB. However, if we assume that AC is equal to zero (meaning AB is directly connected to CB), then the equation becomes x^2 = 25.
Taking the square root of both sides, you can find that x = 5 cm. So, if AC is zero, the length of AB is 5 cm.
However, if you have additional information about the triangle, such as the length of AC or any other side or angle measurements, you can use that to find the exact length of AB.