# ISEE Lower Level Quantitative : How to find a triangle on a coordinate plane

## Example Questions

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### Example Question #131 : Coordinate Geometry

Find the area of the above triangle--given that it has a base of  and a height of

square units

square units

square units

square units

square units

Explanation:

To find the area of the right triangle apply the formula:

Thus, the solution is:

### Example Question #1 : How To Find A Triangle On A Coordinate Plane

The above triangle has a base of  and a height of . Find the area.

square units

square units

square units

square units

square units

Explanation:

To find the area of this right triangle apply the formula:

Thus, the solution is:

### Example Question #1 : How To Find A Triangle On A Coordinate Plane

The above triangle has a base of  and a height of . Find the length longest side (the hypotenuse).

Explanation:

In order to find the length of the longest side of the triangle (hypotenuse), apply the formula:

, where  and  are equal to  and , respectively. And,  the hypotenuse.

Thus, the solution is:

### Example Question #131 : Coordinate Geometry

The triangle shown above has a base of  and height of . Find the area of the triangle.

square units

square units

square units

square units

square units

Explanation:

To find the area of this triangle apply the formula:

Thus, the solution is:

### Example Question #1 : How To Find A Triangle On A Coordinate Plane

At which of the following coordinate points does this triangle intersect with the -axis?

Explanation:

This triangle only intersects with the vertical -axis at one coordinate point: . Keep in mind that the  represents the  value of the coordinate and  represents the  value of the coordinate point.

### Example Question #1 : How To Find A Triangle On A Coordinate Plane

The triangle shown above has a base of  and height of . Find the perimeter of the triangle.

Explanation:

The perimeter of this triangle can be found using the formula:

Thus, the solution is:

### Example Question #131 : Coordinate Geometry

The above triangle has a height of  and a base with length .  Find the area of the triangle.

square units

square units

square units

square units

square units

Explanation:

In order to find the area of this triangle apply the formula:

### Example Question #131 : Coordinate Geometry

The triangle shown above has a base of  and height of . Find the length of the longest side of the triangle (the hypotenuse).

Explanation:

In order to find the length of the longest side of the triangle (hypotenuse), apply the formula:

, where  and  are equal to  and , respectively. And,  the hypotenuse.

Thus, the solution is:

### Example Question #1 : How To Find A Triangle On A Coordinate Plane

The above triangle has a height of  and a base with length . Find the hypotenuse (the longest side).

Explanation:

In order to find the length of the longest side of the triangle (hypotenuse), apply the formula:

, where  and  are equal to  and , respectively. And,  the hypotenuse.

Thus, the solution is:

### Example Question #1 : How To Find A Triangle On A Coordinate Plane

The above triangle has a height of  and a base with length . Find the perimeter of the triangle.