Question

a triangle is shown on the coordinate plane below. the base of the triangle is side c, and the height of the triangle is 3.4 units. the measure of the base of the triangle is units. the area of the triangle is square units.

Explanation:

Step1: Determine base length

Count the grid - units of base \(c\). The base \(c\) extends from \(x = 3\) to \(x = 6\), so the length of the base \(b = 6 - 3=3\) units.

Step2: Calculate area

Use the triangle - area formula \(A=\frac{1}{2}\times b\times h\), where \(b\) is the base and \(h\) is the height. Given \(b = 3\) units and \(h = 3.4\) units. Then \(A=\frac{1}{2}\times3\times3.4 = 5.1\) square units.

Answer:

The measure of the base of the triangle is 3 units.
The area of the triangle is 5.1 square units.