Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

activity in this activity, youll need to know what it means to \triangu…

Question

activity in this activity, youll need to know what it means to \triangulate\ a polygon. to triangulate a polygon, pick a single vertex on the polygon and draw diagonals from that vertex to every other vertex in the polygon, forming non - overlapping triangles. for example, in this decagon, lines are drawn from the vertex in the top left of the figure to every other vertex.part adraw a convex quadrilateral of any type on a piece of paper, and triangulate it. how many triangles are formed?

Explanation:

Step1: Recall the formula for the number of triangles formed

The formula for the number of triangles formed when triangulating a convex polygon with \(n\) sides is \(n - 2\).

Step2: Identify the number of sides of the quadrilateral

A quadrilateral has \(n=4\) sides.

Step3: Calculate the number of triangles

Substitute \(n = 4\) into the formula \(n - 2\). So, \(4-2=2\).

Answer:

2