Abc is a triangle with de parallel to bc . If ad= 2 cm and bd= 4 cm then find the value of de:bc
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In triangle ADE and triangle ABC,
angle ADE=angle ABC [Corresponding angle ]
angle AED=angle ACB [Corresponding angle]
Therefore triangle ADE ~ triangle ABC
Thus,
AD/AB=DE/BC[in similar triangles ratio of corresponding sides are equal]
=>DE/BC=AD/(AD+BD)
=>DE/BC=2/(2+4)=2/6=1/3
Hope this helps; )
angle ADE=angle ABC [Corresponding angle ]
angle AED=angle ACB [Corresponding angle]
Therefore triangle ADE ~ triangle ABC
Thus,
AD/AB=DE/BC[in similar triangles ratio of corresponding sides are equal]
=>DE/BC=AD/(AD+BD)
=>DE/BC=2/(2+4)=2/6=1/3
Hope this helps; )
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Answer:
Answer: 1:3
Step-by-step explanation:
Triangle ADE is similar to triangle ABC ( by aa similarity criteria ) ( DE is parallel to BC )
AD/AB = DE/BC (cpst)
2/6 = DE/BC ( AB = AD+BD = 2 + 4 = 6 )
1/3 = DE/BC
therefore , DE:BC = 1:3
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