Two right triangular prisms are pushed together as shown. The base of one triangle is 12 cm long and 2 cm deep. The height of the triangle is 5 cm.
a. Determine the length of the missing side, x.
First, we need to determine the dimensions of the second triangle based on the given information.
Since the base of the first triangle is 12 cm long and the height is 5 cm, we can use the Pythagorean theorem to find the length of the missing side:
12^2 + 5^2 = x^2
144 + 25 = x^2
169 = x^2
x = √169
x = 13 cm
Therefore, the length of the missing side, x, is 13 cm.