The sum of two numbers is 50 and the difference is 28 . What are the numbers?
2 answers:
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Answer:
AD = 15 cm , BD = 3 cm
Step-by-step explanation:
Δ ABC is similar to Δ ADE ( by the AA postulate )
then the ratios of corresponding sides are in proportion, that is
=
( substitute values )
=
( cross- multiply )
8 × AD = 12 × 10 = 120 ( divide both sides by 8 )
AD = 15 cm
AB + BD = AD , that is
12 + BD = 15 ( subtract 12 from both sides )
BD = 3 cm