How to find the height of a triangle - ISEE Upper Level (grades 9-12) Quantitative Reasoning
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Question
Quantity A: The hypotenuse of a right triangle with sides 
and 
.
Quantity B: The height of a triangle with an area of 
and base of 
.
Quantity A: The hypotenuse of a right triangle with sides
Quantity B: The height of a triangle with an area of
Answer
Quantity A: This is the special 
-
-
triangle, where the two sides have lengths of 
and 
and the hypotenuse is 
.
Quantity B: This triangle has an area of 
and base of 
. The area of a triangle is 
, so that height must be 
.
Quantity A and Quantity B are equal.
Quantity A: This is the special
Quantity B: This triangle has an area of
Quantity A and Quantity B are equal.
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