Question

compute the area of the triangle using the coordinates: (10,5), (10,0), and (4,5). what is the area of this triangle in square units? (1 point) 5.5 15 11 30

Explanation:

Step1: Calculate the base and height

The base \(b\) can be found by the difference in \(x -\)coordinates of \((10,5)\) and \((4,5)\). Since the \(y -\)coordinates are the same, \(b=\vert10 - 4\vert=6\).
The height \(h\) can be found by the difference in \(y -\)coordinates of \((10,5)\) and \((10,0)\). Since the \(x -\)coordinates are the same, \(h=\vert5 - 0\vert = 5\).

Step2: Use the area formula for a triangle

The area formula for a triangle is \(A=\frac{1}{2}\times b\times h\).
Substitute \(b = 6\) and \(h = 5\) into the formula: \(A=\frac{1}{2}\times6\times5\).
First, calculate \(6\times5 = 30\), then \(\frac{1}{2}\times30=15\).

Answer:

15