How to find the height of a triangle
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ISEE Upper Level Quantitative Reasoning › How to find the height of a triangle
Questions 1 - 1
1
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
.
The two quantities are equal.
Quantity A is greater.
Quantity B is greater.
The relationship of the quantities cannot be determined.
Explanation
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.