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

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

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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:

解释:

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:

解释:

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

So,

The perimeter ofis

.

Example Question #3 :Acute / Obtuse Triangles

What is?

Possible Answers:

It is impossible to tell from the information given.

Correct answer:

解释:

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

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