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.