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The-area-of-XYZ-is-50cm-2-L-is-the-midpoint-of-XZ-andKY-LM-find-the-area-of-ZLY-help-please-sir-




Question Number 53055 by Otchere Abdullai last updated on 16/Jan/19
The area of △XYZ is 50cm^2 . L   is the midpoint of XZ andKY ∥LM.  find the area of  △ZLY.  help please sir
$${The}\:{area}\:{of}\:\bigtriangleup{XYZ}\:{is}\:\mathrm{50}{cm}^{\mathrm{2}} .\:{L}\: \\ $$$${is}\:{the}\:{midpoint}\:{of}\:{XZ}\:{andKY}\:\parallel{LM}. \\ $$$${find}\:{the}\:{area}\:{of}\:\:\bigtriangleup{ZLY}. \\ $$$${help}\:{please}\:{sir} \\ $$
Commented by mr W last updated on 16/Jan/19
ΔZLY=(1/2)ΔXYZ=(1/2)×50=25 cm^2   we don′t need to know where K and M  are.
$$\Delta{ZLY}=\frac{\mathrm{1}}{\mathrm{2}}\Delta{XYZ}=\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{50}=\mathrm{25}\:{cm}^{\mathrm{2}} \\ $$$${we}\:{don}'{t}\:{need}\:{to}\:{know}\:{where}\:{K}\:{and}\:{M} \\ $$$${are}. \\ $$
Commented by Otchere Abdullai last updated on 16/Jan/19
correct sir ! final answer in the book  is 25 but it was not solved in fact mr  W you are great! please can you help    me with the sketch if you have time   sir
$${correct}\:{sir}\:!\:{final}\:{answer}\:{in}\:{the}\:{book} \\ $$$${is}\:\mathrm{25}\:{but}\:{it}\:{was}\:{not}\:{solved}\:{in}\:{fact}\:{mr} \\ $$$${W}\:{you}\:{are}\:{great}!\:{please}\:{can}\:{you}\:{help}\:\: \\ $$$${me}\:{with}\:{the}\:{sketch}\:{if}\:{you}\:{have}\:{time}\: \\ $$$${sir} \\ $$
Commented by mr W last updated on 16/Jan/19
Commented by Otchere Abdullai last updated on 16/Jan/19
wonderful prof W infact you are prof  God bless you. You made me understand  it thanks prof.
$${wonderful}\:{prof}\:{W}\:{infact}\:{you}\:{are}\:{prof} \\ $$$${God}\:{bless}\:{you}.\:{You}\:{made}\:{me}\:{understand} \\ $$$${it}\:{thanks}\:{prof}. \\ $$

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