If a triangular road sign has a center height of 15 inches and a bottom length of 14 inches long, what is the area of the road sign?

Formula

A = 1/2 b * h

Substitute

Area = 60 in^2

b = x

h = 2x - 1

60= 1/2 * x * (2x - 1)

Solve

60 = 1/2 * x (2x - 1) Multiply by 2

60 * 2 = x(2x - 1)

120 = x (2x - 1) Remove the brackets.

120 = 2x^2 - x  Subtract 120 from both sides.

2x^2 -  x - 120 = 0 This factors.

(2x + 15)(x - 8) = 0

Solve for x

2x + 15 = 0

2x = - 15

x = -15/2

x = - 7.5 a negative measurement is useless. Discard this answer.

x - 8 = 0

x = 8

Area (Check)

base = 8

height = 16 - 1 = 15

Area = 1/2 * 8 * 15 = 60 as it should

Answer

Use Area = 1/2 * b * h to find the base and the height.Step-by-step explanation:

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.