If a area of a triangle is 64 and if the base is twice as big of the height what are the base and height

The formula for area of a triangle is A = bh/2, where b is the base length and h is the height of the triangle. For this triangle, the base is twice as big as the height; the base and height are represented as follows.

Height: h

Base: 2h

The area of the triangle is 64. Plug all values and expressions accordingly into the formula for area and solve algebraically for h.

A = bh/2

64 = 2h (h) / 2

64 = 2h²/2

64 = h²

8 = h

b = 2h

b = 2 (8)

b = 16

Answer:

The height of the triangle is 8 units and the base is 16 units.