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 #141 : Coordinate Geometry

Vt_custom_xy_xytriangle_5

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

Possible Answers:

 square units

 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 #141 : Geometry

Vt_custom_xy_xytriangle_1

Given that this triangle has a base of  and a height of , what is the length of 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 #143 : Coordinate Geometry

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:




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