The height of a triangle is 14mm more than the base. The area is 240mm? What is the height of the triangle?

Height = 30mm

Step-by-step explanation:

The area of a triangle is calculated by the formula:

area = base x height x (1/2)

As provided information, we have:

      240 =  (height - 14) x height x (1/2)

<=> 480 = height^2 - 14 x height

<=> height^2 - 30 x height + 16 x height - 480 = 0

<=> height(height - 30) + 16(height - 30) = 0

<=> (height - 30)(height + 16) = 0

<=> height = 30 (height = -16 is not valid)

Hope this helps!

202.5

Step-by-step explanation:

Start by finding the area of the triangle part using the lengths of 9 , 9 , and 5

That gives you 22.5

Then find the area of the rectangle part using the sides of 20 and 9

This gives you 180

When you add them you get 202.5

I hope that this helps!!