# Solution: Find the altitudes, if the areas of the triangles differ by 21 square units

Two triangles have equal bases. The altitude of one triangle is 3 units more than its base and the altitude of the other triangle is 3 units less than its base. Find the altitudes, if the areas of the triangles differ by 21 square units.

#### Problem Statement: ECE Board November 1998

Two triangles have equal bases. The altitude of one triangle is 3 units more than its base and the altitude of the other triangle is 3 units less than its base. Find the altitudes, if the areas of the triangles differ by 21 square units.
• A. 6 and 12
• B. 3 and 9
• C. 5 and 11
• D. 4 and 10

The altitudes of the triangles are 4 and 10 units

Solution:

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