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ABCD is a trapezium. Find the size of angle CDA, giving your answer to 1 decimal place |
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Answer» Given : ABCD is a trapezium. AD || BC , AD = 23 cm BC = 9 AB = 6.5 Height = 6 cm Solution: Height = 6 cm => BM = 6 cm M point on AD Applying PYTHAGORAS theorem AM² = AB² - BM² => AM² = 6.5²- 6² => AM = 2.5 CN ⊥ AD AD = AM + MN + ND MN = BC = 9 & CN = BM = 6 ( height) => 23 = 2.5 + 9 + ND => ND = 11.5 Tan ∠CDN = CN/ND ∠CDN = ∠CDA => Tan ∠CDA = 6/11.5 =>∠CDA = 27.55 Learn More: . A farmer has a land in form of trapezium ABCD as shown. He ... Construct the trapezium city with ci parallel to YT ci =7cm it =5.5cm ty ... |
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