Geometry math question no guessing and show work you

PQ shows the height of the triangle from its base

As P is the highest point of the triangle

and Q lies on the base of the triangle

So PQ is the height of the triangle

And the height of any triangle is also known as the altitude of the triangle

So

PQ is nothing but the Altitude of this triangle

So option D is correct

Altitude

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.