Question

1. mario, raquel, and jocelyn are arguing about where the height is for the triangle below. the three have written their names along the part they think should be the height. determine which person is correct. explain why the one you chose is correct and why the other two are incorrect.

Explanation:

Step1: Recall height - definition

The height of a triangle is the perpendicular distance from a vertex to the opposite side (or its extension).

Step2: Analyze each person's claim

Mario's line is perpendicular to the base (the side opposite the vertex from which it is drawn), so it is the height. Raquel's line is not perpendicular to the base, so it is not the height. Jocelyn's line is the perpendicular distance from the vertex to the extension of the base, which also counts as the height for an obtuse - angled triangle.

Answer:

Mario and Jocelyn are correct. Mario's line is a height as it is perpendicular to the base. Jocelyn's line is also a height as it is the perpendicular distance from the vertex to the extended base. Raquel is incorrect because her line is not perpendicular to the base.