Finding the area of a right triangle on a grid



In this lesson, we find the area of a right triangle on a grid. We draw the given right triangle on the grid and then measure its base and height on the grid. The formula for the area of triangle is used as follows to find area.

Area of triangle = $\mathbf{\frac{1}{2}}$ base × height

Find the area of the given right triangle on a grid.

Finding the area of a right triangle on a grid Example1

Solution

Step 1:

Area of Triangle = $\frac{1}{2}$ × b × h; b = base = 6; h = height = 3

Step 2:

Area of given right triangle on a grid = $\frac{1}{2}$ × 6 × 3 = 9 square units

Find the area of the given right triangle on a grid.

Finding the area of a right triangle on a grid Example2

Solution

Step 1:

Area of Triangle = $\frac{1}{2}$ × b × h; b = base = 5; h = height = 7

Step 2:

Area of given right triangle on a grid = $\frac{1}{2}$ × 5 × 7 = 17.5 square units

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