Question

what is the area of this triangle? (with an image of a triangle on a grid and multiple - choice options: 24 units², 14 units², 48 units²)

Explanation:

Step1: Identify base and height

From the grid, assume base \( b = 8 \) units, height \( h = 6 \) units (or vice - versa, as it's a right - angled triangle in grid).

Step2: Apply triangle area formula

The formula for the area of a triangle is \( A=\frac{1}{2}\times b\times h \).
Substitute \( b = 8 \) and \( h = 6 \) into the formula: \( A=\frac{1}{2}\times8\times6 \).
First, calculate \( 8\times6 = 48 \), then \( \frac{1}{2}\times48=24 \).

Answer:

24 units²