Question

match the base to the corresponding height.
base (b) | height (h)
(images of triangles with base and height markings)

Explanation:

Step1: Recall Triangle Base-Height

In a right triangle, base and height are the two legs forming the right angle. For non - right triangles, height is perpendicular to the base.

Step2: Analyze Each Pair

• First row (base with red side labeled \(b\)): The height should be the side perpendicular to this base. Looking at the height column, the triangle with height \(h\) (the one with the right angle at the base of the height) that is perpendicular to the base \(b\) (red side) is the one where the height is drawn to the base \(b\) (the triangle in the height column with the right - angled mark at the base of the height segment).
• Second row (base \(b\) as the horizontal leg): The corresponding height is the vertical leg (the one labeled \(h\) as the vertical side, since in a right triangle, the two legs are base and height relative to each other).
• Third row (base \(b\) as a short side): The corresponding height is the short height segment (the small triangle in the height column), as the height should be perpendicular to the base \(b\) and in proportion to the base's length.

Answer:

• First base (red \(b\)) matches the height triangle with the right - angled mark at the base of \(h\) (top - right height triangle).
• Second base (horizontal \(b\)) matches the height triangle with vertical \(h\) (middle - right height triangle).
• Third base (short \(b\)) matches the small height triangle (bottom - right height triangle).