ISEE Middle Level Quantitative : Triangles

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

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Example Questions

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Example Question #8 : How To Find The Area Of A Triangle

Parallelogram 1

Figure NOT drawn to scale

The above diagram depicts Parallelogram . Which is the greater quantity?

(a) The area of 

(b) The area of 

Possible Answers:

(a) and (b) are equal

It is impossible to determine which is greater from the information given

(a) is the greater quantity

Correct answer:

(a) and (b) are equal

Explanation:

Opposite sides of a parallelogram have the same measure, so

 Base  of  and base  of  have the same length;  also, as can be seen below, both have the same height, which is the height of the parallelogram.

Parallelogram 1

Therefore, the areas of  and  have the same area - .

Example Question #261 : Geometry

Right triangle 2

Refer to the above figure. Which is the greater quantity?

(a) The perimeter of the triangle

(b) 3 feet

Possible Answers:

It is impossible to determine which quantity is the greater from the information given

(a) is the greater quantity

(b) is the greater quantity

(a) and (b) are equal

Correct answer:

(b) is the greater quantity

Explanation:

The perimeter of the triangle - the sum of the lengths of its sides - is

 inches. 

3 feet are equivalent to  inches, so this is the greater quantity.

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