Answer:
8.3 units
Step-by-step explanation:
Refer to the notations above, we can use Pythagoras Theorem to find the hypotenuse of the red triangle on the base of the prism.
The hypotenuse of the red triangle
[tex] = \sqrt{ {7}^{2} + {4}^{2} } [/tex]
[tex] = \sqrt{65} [/tex]
The hypotenuse of the red triangle is the common side of the yellow triangle's base.
d is equal to the hypotenuse of the yellow triangle.
The length of d
[tex] = \sqrt{ { \sqrt{65} }^{2} + {2}^{2} } [/tex]
[tex] = \sqrt{65 + 4} [/tex]
[tex] = \sqrt{69} [/tex]
[tex] = 8.30662...[/tex]
= 8.3 units
