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

Height is 3

Step-by-step explanation:

4.24 x 4.24 x 6

Right triangle base = a + b + c

                         a^2 + 3^2  =  4.24^2

= a^2 + 9                             = 17.98

We cross out b to subtract.

                                   a^2  = 17.98 - 9

                                    a^2 = 8.98

We then square         √a^2 = √8.98

                                    a = 2.996

We round up               a = 3                                

We have found the height is 3

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.19875994384

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