Question

Each vertical cross-section of the triangular

prism shown below is an isosceles triangle.
37
What is the vertical height, h, of the
triangular prism?
Round your answer to the nearest tenth.
The height is
units.

Answer 1

Answer:3

Explanation:

Answer 2

The vertical height is
`h=3\ units`

Explanation:

we know that

In the right triangle ABC

see the attached figure

To find the height h apply the Pythagoras Theorem

`c^(2)=a^(2)+b^(2)`

we have

`c=AB=3√(2)\ units`

`a=BC=6/2=3\ units`

`b=AC=h\ units`

substitute

`(3√(2))^(2)=3^(2)+h^(2)`

`18=9+h^(2)`

`h^(2)=18-9=9`

`h=3\ units`