### All ISEE Lower Level Quantitative Resources

## Example Questions

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

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

**Possible Answers:**

square units

square units

square units

square units

**Correct answer:**

square units

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

Thus, the solution is:

### Example Question #2 : How To Find A Triangle On A Coordinate Plane

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

**Possible Answers:**

square units

square units

square units

square units

**Correct answer:**

square units

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

Thus, the solution is:

### Example Question #3 : 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).

**Possible Answers:**

**Correct answer:**

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 #4 : How To Find A Triangle On A Coordinate Plane

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

**Possible Answers:**

square units

square units

square units

square units

**Correct answer:**

square units

To find the area of this triangle apply the formula:

Thus, the solution is:

### Example Question #5 : How To Find A Triangle On A Coordinate Plane

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

**Possible Answers:**

**Correct answer:**

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 #6 : 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.

**Possible Answers:**

**Correct answer:**

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

Thus, the solution is:

### Example Question #7 : How To Find A Triangle On A Coordinate Plane

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

**Possible Answers:**

square units

square units

square units

square units

**Correct answer:**

square units

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

### Example Question #8 : How To Find A Triangle On A Coordinate Plane

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

**Possible Answers:**

**Correct answer:**

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 #9 : 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).

**Possible Answers:**

**Correct answer:**

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 #10 : 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.

**Possible Answers:**

**Correct answer:**

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

Thus, the solution is:

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