To find the height of the triangular pyramid, we can use the formula for the volume of a pyramid:

$V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$

Where:

• $V$ is the volume of the pyramid,
• $\text{Base Area}$ is the area of the base,
• $\text{Height}$ is the height of the pyramid (which we are solving for).

You provided:

• $V = 170 \, \text{in}^3$,
• The base is a triangle with a base length of 34 inches. However, we don't have the height of the triangle, which is crucial to finding the base area.

To proceed with the calculation, I need to know either:

1. The height of the triangular base, or
2. Whether the base of the triangle is an equilateral triangle (so we could compute the height using the Pythagorean theorem).

Could you provide more information about the base of the triangle?