Mathematics

Question

Area of triangle ABC is 144 square units Find the area of triangle DBE in square units
Area of triangle ABC is 144 square units Find the area of triangle DBE in square units

1 Answer

  • Hi, thank you for posting your question here at Brainly.

    Area of Triangle = 1/2*base*height

    For triangle ABC:

    144 = 1/2*AC*(3x+x)
    2(144) = AC(4x)
    AC = 72/x

    Through ratio and proportion:

    (3x+x)/AC = x/DE
    4x/(72/x) = x/DE
    4x^2/72 = x/DE
    4x/72 = 1/DE
    DE = 72/4x = 18/x

    For triangle DBE:

    A = 1/2*base*height
    A = 1/2*DE*x
    A = 1/2*(18/x)*x
    A = 1/2*18
    A = 9 square units
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