Answer:
18.6cm (rounded to 3 s.f.)
Explanation:
You can actually figure out the two bases of the triangles based on the Pythagoras theorem where the slant length of a 90° triangle is
where a is one of the bases and b is the other length that is 90° perpendicular to a.
So this means:
= 8cm
6² + base² = 64cm
36 + base² = 64
base² = 64-36
= 28
base =
![√(28)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7ty43dn0cds0t5xvkpvy59yptryx73ma20.png)
≈ 5.2915 (5 s.f.)
So the two bases are roughly 5.2915, and the middle base is part of a rectangle, so it has the same length as the rectangle's length, which is 8cm.
Thus, x = 5.2915 + 5.2915 + 8
= 18.6cm (rounded to 3 s.f.)