Answer:
15.1875 cm²
Step-by-step explanation:
step 1)
we find the height for big triangle
area of triangle = ½ * The base * the height
that mean 27 = ½ AB * the height
27 = ½ *(6) * the height
the height = 27 /(½*6) = 27 /3 = 9
step 2)
we find the base for small triangle
6/x=4/3
x=(6*3)/4 = 4.5
step 3)
we find the height for small triangle
Similarity 4/3 = 9/z
z=(9*3)/4 = 6.75
step 4)
area of triangle = ½ The base * the height
area of triangle = ½ *(4.5)*(6.75) = 15.1875 cm²
