Question

In this figure, the right angled triangles ABC and DEF overlap partially. In triangle ABC, AB = 8 cm and BC = 10 cm. In triangle DEF, DE = 12 cm and DF = 9 cm. Find the difference in the areas of the shaded parts!

Tolong beserta caranyaa yaa

Answer 1

Verified answer

Area ∆ABC
A1 = ½ • AB • BC
A1 = ½ • 8 • 10
A1 = 40 cm²

Area ∆DEF
A2 = ½ • DE • DF
A2 = ½ • 12 • 9
A2 = 54 cm²

red area = x
purple area = 40 - x
blue area = 54 - x

the difference blue area and purple area
∆A = (54 - x) - (40 - x)
∆A = 14 cm² ← jwb