Question

practice problems
from unit 1, lesson 9
a. identify a base and a corresponding height that can be used to find the area of this triangle. label the base b and the corresponding height h.
b. find the area of the triangle.
show your reasoning.

Explanation:

Step1: Identify base and height

The horizontal side of the triangle can be considered the base $b$. Counting the grid - squares, $b = 6$ units. The perpendicular distance from the base to the opposite vertex is the height $h$, and $h = 2$ units.

Step2: Use area formula

The area formula for a triangle is $A=\frac{1}{2}bh$. Substitute $b = 6$ and $h = 2$ into the formula: $A=\frac{1}{2}\times6\times2$.

Step3: Calculate the area

$\frac{1}{2}\times6\times2=6$ square units.

Answer:

a. Base $b = 6$ units (horizontal side), height $h = 2$ units (perpendicular distance from base to opposite vertex)
b. 6 square units