Answer:
height = 6 cm
base = 12 cm
Explanation:
Let the base of the triangle is denoted by b
Let the height of the triangle is denoted by h
We are given that base of a triangle is twice that of its height,
b = 2h
Recall that area of a triangle is given by,
A = ½×b×h
We are given that area of the triangle is 36 cm²
36 = ½×b×h
Substitute b = 2h in the above equation
36 = ½×2h×h
36 = h×h
h² = 36
h = √36
h = 6 cm
Therefore, the height of the triangle is 6 cm
b = 2h
b = 2(6)
b = 12 cm
Therefore, the base of the triangle is 12 cm
Verification:
A = ½×b×h
A = ½×12×6
A = ½×72
A = 36 cm²
Hence proved