## What is the area of…

## Solution:

We are given triangle ABC, with a base of AC and a height of BD. We can sketch the diagram below:

We need to determine the area of triangle ABC.

Area of triangle ABC = ½(base x height)

Area of triangle ABC = ½(base AC x height BD)

**Statement One Alone: **

The product of BD and AC is 20.

Since the product of BD and AC is 20 we know:

Area of triangle ABC = ½(20)

Area of triangle ABC = 10

Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and E.

**Statement Two Alone: **

x = 45

Since we do not have any values for BD or AC, statement two is not sufficient to answer the question.

**Answer:** A