Answered

a area of a triangle is 16 more than the base .if the height is 6 in.,what is the length of the base

Sagot :

Let base be x
     area be  x + 16

Area of triangle = bh
                           2

x + 16 = x(6)
              2

2x + 32 = 6x
6x - 2x = 32
4x = 32

4x/4 = 32/4
  x = 8

Length of the base = 8 inches

To check:
(8 + 16) squared inches = (8 in)(6in)
                                           2
24 sq. inches = 48 sq inches
                              2

24 sq. inches = 24 sq. inches