1. D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?





Write Comment

Type in
(Press Ctrl+g to toggle between English and the chosen language)

Comments

  • By: anil on 05 May 2019 01.44 am
    ADE & ABC are similar, let area of $$ riangle$$ ABC = y, that of ADE = x For similar triangles Ratio of sides = $$sqrt{ ext(ratio of areas)}$$ AB/AD = $$sqrt{ frac{area.ABC}{area.ADE}}$$ 5/2 = $$sqrt{ frac{y}{x}}$$ 25/4 = $$frac{y}{x}$$ y = 25x/4  area of quadrilateral BDEC = ABC - ADE = y - x = 25x/4 - x = 21x/4
    $$frac{ADE}{BDEC} = frac{x}{21x/4} = frac{4x}{21x} = frac{4}{21}$$ So the answer is option A.
Tags
Show Similar Question And Answers
QA->Who holds the Guinness World Record for “The Fastest time to travel the Indian Golden Quadrilateral on foot (female)”?....
QA->Highest useful compression ratio is the compression ratio at which the engine....
QA->The ratio of the age of two sisters is 3:The product of their ages is The ratio of their ages after 5 years will be:....
QA->The ratio of side force to the slip angle is called:....
QA->What ratio of forest area needed for ecological balance in India?....
MCQ->D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 sq cm, what is the ratio of area of ΔADE: area of quadrilateral BDEC?....
MCQ->D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ΔADE and area of quadrilateral BDEC?....
MCQ->D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 cm sq, what is the area (in sq cm) of quadrilateral BDEC?....
MCQ->In ΔABC, a line parallel to side BC cuts the side AB and AC at points D and E respectively and also point D divide AB in the ratio of 1 : 4. If area of ΔABC is 200 cm$$^{2}$$, then what is the area (in cm$$^{2}$$) of quadrilateral DECB?....
MCQ->D and E are points on side AB and AC of ∆ABC. DE is parallel to BC. If AD:DB = 1:2 and area of ∆ABC is 45 sq cm, what is the area (in sq cm) of quadrilateral BDEC?....
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use
DMCA.com Protection Status Powered By:Omega Web Solutions
© 2002-2017 Omega Education PVT LTD...Privacy | Terms And Conditions