ISEE Upper Level Math : How to find if two acute / obtuse triangles are similar

Study concepts, example questions & explanations for ISEE Upper Level Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Acute / Obtuse Triangles

Similar

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 #2 : 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 #2 : 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.

 

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: