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33 votes
33 votes
The height of a triangle is 4 yards greater than the base. The area of the triangle is 70 square yards. Find the length of the base and the height of the triangle.

User Ssergei
by
3.2k points

1 Answer

20 votes
20 votes

9514 1404 393

Answer:

  • base: 10 yards
  • height: 14 yards

Explanation:

Let b represent the length of the base. Then (b+4) is the height and the area of the triangle is ...

A = 1/2bh

70 = 1/2(b)(b+4)

b² +4b -140 = 0 . . . . . multiply by 2, put in standard form

(b +14)(b -10) = 0 . . . . factor

b = 10 . . . . the positive solution

The base of the triangle is 10 yards; the height is 14 yards.

User Pieterjan
by
2.7k points
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