Question

Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.

pls help im desprate

Answer 1

Answer :

• h = 3 units

Explanation :

refer to the attachments <3

Answer 2

Answer:

3 units

Step-by-step explanation:

The base of the given triangular prism is an isosceles triangle.

An isosceles triangle is made up of two congruent right triangles, each with a base equal to half the base of the isosceles triangle. So, in this case, we have two right triangles, each with a base of 4 units and a hypotenuse of 5 units.

The height of the isosceles triangle is equivalent to the height of the congruent right triangles.

To find the height (h), we can use the Pythagorean Theorem.

$h^2 + 4^2 = 5^2\\\\h^2+16=25\\\\h^2=25-16\\\\h^2=9\\\\h = 3$

Therefore, the height of the triangular prism is:

$\LARGE\boxed{\boxed{3\; \sf units}}$