In the figure. DE BCTAC = 23 cm. FC = 5 cm and DE = 12 cm. then BCS qual to #1 12
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Answer:
Given AD= 1.5 cm
∴BD = 3 cm and AB= AD+BD
= 1.5+3
= 4.5 cm
proof : Given , in triangle ADE and ABC
∠A is common and DE||BC.
∠ADE=∠ABC
⇒∠AED=∠ACB (corresponding angles)
∴ΔADE≅ΔABC (AA similarity)
ar(ΔABC)
ar(ΔADE)
=
AB
2
AD
2
=
(4.5)
2
(1.5)
2
=
9
1
ar(ΔABC)−ar(ΔADE)
ar(ΔADE)
=
9−1
1
∴
ar(trapeziumBCED)
ar(ΔADE)
=
8
1
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0
yes because I don't know the answer bro
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