Question

finding the area of a triangle

estimate. circle all problems that will have areas greater than 15 square units. then find the exact areas of only the problems you circled.

Explanation:

Step1: Recall area formula

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

Step2: Analyze triangle 1

Assume each grid - square has side - length 1 unit. For triangle 1, if we consider the base along the horizontal side and the height along the vertical side. Counting the grid - squares, assume the base $b = 10$ units and the height $h=6$ units. Then $A_1=\frac{1}{2}\times10\times6 = 30$ square units.

Step3: Analyze triangle 3

For triangle 3, assume the base $b = 8$ units and the height $h = 6$ units. Then $A_3=\frac{1}{2}\times8\times6=24$ square units.

Step4: Analyze triangle 5

For triangle 5, assume the base $b = 10$ units and the height $h = 4$ units. Then $A_5=\frac{1}{2}\times10\times4 = 20$ square units.

Step5: Analyze triangle 6

For triangle 6, assume the base $b = 10$ units and the height $h = 6$ units. Then $A_6=\frac{1}{2}\times10\times6=30$ square units.

Answer:

Triangle 1 area: 30 square units
Triangle 3 area: 24 square units
Triangle 5 area: 20 square units
Triangle 6 area: 30 square units