Given: △KLM, KM=48, LD=16 LD ⊥ KM , NOPS - rectangle NO:OP=5:9 Find: NO, OP
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Answer:
NO = 14.6
OP = 26.3
Step-by-step explanation:
Given: △KLM, KM=48, LD=16 LD ⊥ KM , NOPS - rectangle NO:OP=5:9 Find: NO, OP
complete question is that both rectangle & Triangle have same area
△KLM, KM=48, LD=16 LD ⊥ KM
Area of Triangle = (1/2) * Base * Height
=> Area of Triangle = (1/2) * 48 * 16 = 384
In Rectangle NOPS
Area of Rectangle = NO * OP
NO/OP = 5/9
=> NO = 5OP/9
Area of rectangle = (5OP/9 ) * OP = (5/9) OP²
Area of rectangle = Area of Triangle
=> (5/9) OP² = 384
=> OP² = 691.2
=> OP = 26.3
NO = 5OP/9
=> NO = 5 * 26.3/9
=> NO = 14.6
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