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.

Question

a. Determine the length of the missing side, x.

Answer 1

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.