# Intermediate Geometry : How to find the area of an acute / obtuse triangle

## Example Questions

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### Example Question #151 : Triangles

A triangle is placed in a parallelogram so that they share a base.

If the height of the triangle is half the height of the parallelogram, find the area of the shaded region.

Explanation:

In order to find the area of the shaded region, we will need to find the areas of the triangle and of the parallelogram.

First, recall how to find the area of a parallelogram.

Next, recall how to find the area of a triangle.

Now, find the height of the triangle.

Plug this value in to find the area of the triangle.

Subtract the two areas to find the area of the shaded region.

### Example Question #152 : Triangles

A triangle is placed in a parallelogram so that they share a base.

If the height of the triangle is half the height of the parallelogram, find the area of the shaded region.

Explanation:

In order to find the area of the shaded region, we will need to find the areas of the triangle and of the parallelogram.

First, recall how to find the area of a parallelogram.

Next, recall how to find the area of a triangle.

Now, find the height of the triangle.

Plug this value in to find the area of the triangle.

Subtract the two areas to find the area of the shaded region.

### Example Question #153 : Triangles

A triangle is placed in a parallelogram so that they share a base.

If the height of the triangle is one-fifth that of the parallelogram, find the area of the shaded region.

Explanation:

In order to find the area of the shaded region, we will need to find the areas of the triangle and of the parallelogram.

First, recall how to find the area of a parallelogram.

Next, recall how to find the area of a triangle.

Now, find the height of the triangle.

Plug this value in to find the area of the triangle.

Subtract the two areas to find the area of the shaded region.

### Example Question #154 : Triangles

A triangle is placed in a parallelogram so that they share a base.

If the height of the triangle is half that of the parallelogram, find the area of the shaded region.

Explanation:

In order to find the area of the shaded region, we will need to find the areas of the triangle and of the parallelogram.

First, recall how to find the area of a parallelogram.

Next, recall how to find the area of a triangle.

Now, find the height of the triangle.

Plug this value in to find the area of the triangle.

Subtract the two areas to find the area of the shaded region.

### Example Question #155 : Triangles

A triangle is placed in a parallelogram so that they share a base.

If the height of the triangle is one-ninth that of the parallelogram, find the area of the shaded region.

Explanation:

In order to find the area of the shaded region, we will need to find the areas of the triangle and of the parallelogram.

First, recall how to find the area of a parallelogram.

Next, recall how to find the area of a triangle.

Now, find the height of the triangle.

Plug this value in to find the area of the triangle.

Subtract the two areas to find the area of the shaded region.

### Example Question #156 : Triangles

A triangle is placed in a parallelogram so that they share a base.

If the height of the triangle is half that of the parallelogram, find the area of the shaded region.

Explanation:

In order to find the area of the shaded region, we will need to find the areas of the triangle and of the parallelogram.

First, recall how to find the area of a parallelogram.

Next, recall how to find the area of a triangle.

Now, find the height of the triangle.

Plug this value in to find the area of the triangle.

Subtract the two areas to find the area of the shaded region.

### Example Question #157 : Triangles

A triangle is placed in a parallelogram so that they share a base.

If the height of the triangle is half that of the parallelogram, find the area of the shaded region.

Explanation:

In order to find the area of the shaded region, we will need to find the areas of the triangle and of the parallelogram.

First, recall how to find the area of a parallelogram.

Next, recall how to find the area of a triangle.

Now, find the height of the triangle.

Plug this value in to find the area of the triangle.

Subtract the two areas to find the area of the shaded region.

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