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The sides of a parallelogram are 11 and 17 cm. lts one diagonal is 26 cm. find the other diagram |
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Answer» Let ABCD be a parallelogram.∴AB=17 cm,BC=11 cm and AC=26 cmLet its diagonal AC and BD bisect each other at point O. AO=21×AC =21×26 =13 cmand BO=21BDIn ΔABC, BO is a median.∴(AB)2+(BC)2=2(BO)2+2(AO)2 (by Apollonius theorem)(17)^2+(11)^2=2BO^2+2(13)^2289+121=2BO^2+3382BO^2=72BO^2=72/2BO=36 =6cm∴ length of diagonal =2×6=12 cmHey Mate!!!! Here is your answer ♣️ |
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