### All ISEE Upper Level Math Resources

## Example Questions

### Example Question #1 : Acute / Obtuse Triangles

NOTE: Figures NOT drawn to scale.

Refer to the above two triangles.

What is ?

**Possible Answers:**

Insufficient information is given to answer the question.

**Correct answer:**

Explanation:

Corresponding sides of similar triangle are proportional, so if

, then

Substitute the known sidelengths, then solve for :

### Example Question #1 : Acute / Obtuse Triangles

What is the perimeter of ?

**Possible Answers:**

It cannot be determined from the information given.

**Correct answer:**

Explanation:

By definition, since, , side lengths are in proportion.

So,

The perimeter of is

.

### Example Question #3 : Acute / Obtuse Triangles

What is ?

**Possible Answers:**

It is impossible to tell from the information given.

**Correct answer:**

Explanation:

By definition, since , all side lengths are in proportion.

Samuel

Certified Tutor

Certified Tutor

SUNY at Binghamton, Bachelors, English. CUNY Queens College, Current Grad Student, Mathematics Education.

Jessica

Certified Tutor

Certified Tutor

Swarthmore College, Bachelor in Arts, Philosophy. Harvard University, Master of Arts, Theology.