The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the triangle.

Step-by-step explanation:

Let x be the height then the base = 2x + 2

So we have

Area = (1/2) (base) (height)

20 = (1/2)(2x + 2)(x) simplify

20 = x (x + 1)

20 = x^2 + x subtract 20 from both sides

x^2 + x - 20 = 0 factor

(x + 5) ( x - 4) = 0

Only the second factor makes sense

x - 4 = 0 add 4 to both sides

x = 4 ft and this is the height

And the base = 2(4) + 2 = 10 ft

why can't you?

step-by-step explanation:

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: