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.

Question

asked Mar 18, 2022 92.1k views

1 Answer

Vikas Chaudhary · Answer 1 · 2022-03-21T23:32:46+0000

9514 1404 393

Answer:

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.