In ΔABC, point D on side BC is such that DC = 6, BC=15 Complete the following to find the ratios of areas of triangles​

  • matematika

    Subject:

    Math
  • Author:

    pena
  • Created:

    1 year ago

Answers 1

Answer:

Step-by-step explanation:

ΔABC, ΔABD, ΔADC all have same height 'h'.

Base length of ΔABC = 15

Base length of ΔABD = 9

Base length of ΔADC = 6

Area of ΔABC= 1/2 × h ×15

Area of ΔABD= 1/2 × h ×9

Area of ΔADC= 1/2 × h ×6

A(ΔABD) : A(ΔABC) = (1/2 × h ×9):(1/2 × h ×15) = 3:5

A(ΔABD) : A(ΔADC) = (1/2 × h ×9):(1/2 × h ×6) = 3:2

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