How to find the height of a triangle

ISEE Upper Level Quantitative Reasoning · Learn by Concept

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ISEE Upper Level Quantitative Reasoning › How to find the height of a triangle

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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.

CORRECT

Quantity A is greater.

Quantity B is greater.

The relationship of the quantities cannot be determined.

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 $\frac{bh}{2}$ , so that height must be .

Quantity A and Quantity B are equal.