- Perimeter and Area of Polygons
- Home
- Sides of polygons having the same perimeter
- Finding the missing length in a figure
- Perimeter of a piecewise rectangular figure
- Area of a rectangle involving fractions
- Distinguishing between the area and perimeter of a rectangle
- Areas of rectangles with the same perimeter
- Word problem involving the area of a square or a rectangle
- Finding the side length of a rectangle given its perimeter or area
- Area of a piecewise rectangular figure
- Area between two rectangles
- Finding the area of a right triangle on a grid
- Finding the area of a right triangle or its corresponding rectangle
- Area of a triangle
- Finding the area of a trapezoid on a grid by using triangles and rectangles
- Area involving rectangles and triangles
- Area of a parallelogram
- Area of a trapezoid
- Finding the perimeter or area of a rectangle in the coordinate plane

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# 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.

### 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.

### 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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