Question

6 from unit 1, lesson 10 on the grid, draw three different triangles with an area of 8 square units. label the base and height of each triangle.

Explanation:

Step1: Recall area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $A$ is the area, $b$ is the base and $h$ is the height. Given $A = 8$, we have $8=\frac{1}{2}bh$, so $bh=16$.

Step2: Find base - height pairs

We need to find pairs of positive - integer values for $b$ and $h$ such that $bh = 16$. The pairs are:

• Pair 1: If $b = 2$ and $h=8$.
• Pair 2: If $b = 4$ and $h = 4$.
• Pair 3: If $b=8$ and $h = 2$.

Step3: Draw the triangles

On the grid, for the first triangle with $b = 2$ and $h = 8$, draw a triangle with a base of 2 grid - units and a height of 8 grid - units. For the second triangle with $b = 4$ and $h = 4$, draw a triangle with a base of 4 grid - units and a height of 4 grid - units. For the third triangle with $b = 8$ and $h = 2$, draw a triangle with a base of 8 grid - units and a height of 2 grid - units. Label the base and height on each triangle.

Answer:

Draw three triangles on the grid: one with base 2 and height 8, one with base 4 and height 4, one with base 8 and height 2, and label the base and height of each.