let triangle ABC similar to trangle def and their areas B respectively 64 CM square and 121 CM square if EF is equal to 15.4 cm square find BC
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4
Answer:
Step-by-step explanation:
∆ABC~∆DEF...,..........given
Now,
By similar triangle theorem we get,
∆ABC2 /∆ DEF2 = BC2 / EF2
64/121 = BC2/(15.4)2
By taking square roots of both sides,
8/11= BC/15.4
By cross multiplication,
(15.4×8)/11 = BC
BC=11.2
therefore value of BC is 11.2
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Answered by
1
Answer:
area of triangle ABC/area of triangle DEF=BC^2/EF^2
=64/121= BC^2/(15.4)^2
=64/121= BC^2/237.16
=64 X 237.16= 121 X BC^2
=15178.24= 121 X BC^2
=15178.24/121 = BC^2
=125.44 = BC^2
=11.2 = BC
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