Each vertical cross-section of the triangular prism shown below is an isosceles triangle. 4

4
5
5
s
s
What is the slant height,
s
ss, of the triangular prism?
Round your answer to the nearest tenth.
The slant height is

units.
Hint #11 / 2
We see that
s
ss is the hypotenuse of a right triangle. One leg of the right triangle is
5
55. The other leg is
2
22, which is half the base of the isosceles triangle.

5
5
s
s
4
4
2
2
2
2
From the Pythagorean Theorem, we have:
2
2
+
5
2
=
s
2
4
+
25
=
s
2
29
=
s
2
29
=
s
5.385
≈
s

2
2
+5
2

4+25
29
29
​

5.385
​

=s
2

=s
2

=s
2

=s
≈s
​

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