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

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

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

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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

Explanation:

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

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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

Explanation:

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

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

Possible Answers:

Correct answer:

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

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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

Explanation:

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

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

Possible Answers:

Correct answer:

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

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

Possible Answers:

Correct answer:

Explanation:

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

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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

Explanation:

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

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

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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:

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

Vt_custom_xy_xytriangle_4

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

Possible Answers:

Correct answer:

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

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

Possible Answers:

Correct answer:

Explanation:

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

Thus, the solution is:




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