Question

5 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

Let the base $b$ be the horizontal side of the triangle which is 8 units long. The corresponding height $h$ is the vertical distance from the base to the opposite vertex, which is 3 units.

Step2: Apply area formula

The formula for the area of a triangle is $A=\frac{1}{2}bh$. Substitute $b = 8$ and $h=3$ into the formula: $A=\frac{1}{2}\times8\times3$.

Step3: Calculate the area

$A=\frac{1}{2}\times8\times3=4\times3 = 12$ square - units.

Answer:

a. Base $b = 8$ units, height $h = 3$ units (answers may vary depending on which side is chosen as the base).
b. The area of the triangle is 12 square - units.