Matematika

Pertanyaan

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!

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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.

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  • 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

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