Height of Isosceles Triangle

Medium Problem Solving Geometry

In the diagram below, triangle ABC is an isosceles triangle where AB = AC. The length of the base BC is given as 10 units. What is the height of the triangle from vertex A to base BC?

Statement (1): The angle A measures 60 degrees.

Statement (2): The area of triangle ABC is 25 square units.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

Hint

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