Respuesta :

I know it looks like a slanted line, but the side with the length of 2.5 cm is the height in this diagram because there is a square indicating a right angle below it. A right angle has a measure of 90 degrees, which means it is vertical to the ground when its' other leg is directly on the ground. The height of the triangle is 2.5 cm. The length of the base of the triangular prism is 12 mm and the length of the triangular prism is 4 cm.

To find the height of the rectangle,we need to first convert cm into mm to calculate(2.5cm=25mm), we can then use the Pythagoras theorem:
[tex] \sqrt{ {12}^{2} + {250}^{2} } \\ = \sqrt{769} \\ = 27.73... [/tex]

Therefore the answer is 27.73 cm.

However if you're talking about the triangle,the height would be 2.5cm,and for the height of prism it would be 4 cm which is given.

Hope it helps!