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Help with algebra problem?
A triangle has its base and altitude equal.Find the length of the base if the base is increase 2 feet and
3 feet in its altitude increase the area by 8 feet?
2 Answers
- TomVLv 79 years agoFavorite Answer
A = b²/2
b²/2 + 8 = (b+2)(b+3)/2
b² + 16 = b² + 5b + 6
5b = 10
b = 2 ft
The base of the triangle is 2 feet long.
- Iggy RockoLv 79 years ago
Let b = original base.
original area = b(b)/2 = b^2/2
new area = (b + 2)(b + 3)/2
new area = original area + 8
b^2/2 + 8 = (b + 2)(b + 3)/2
b^2 + 16 = (b + 2)(b + 3)
b^2 + 16 = b^2 + 5b + 6
16 = 5b + 6
b = 2
