Area of rhombus is 75 sq cm. If one of the diagonals is 5 cm longer than the other , find the lengths of both the diagonals
Answers
Answer:
Diagonals are 15 and 10
Step-by-step explanation:
Suppose one diagonal is x then the other will be x+5 then
Area of rhombus = 1/2 product of diagonals
75 = 1/2 x (x+5)
150= x^2 + 5x
x^2 + 5x - 150 =0
Doing the factors we get -
x= 10 , x= -15 distance can't be minus so
x =10 then other diagonal is 15
Hope it helps!!
Step-by-step explanation:
Answer is 10 cm and 15 cm.
area of rhombus = 1/2 ×(product of diagonal)
75 =1/2 ×(x+5)
multiply 75 × 2 so we will get 150
150= x²+5x
x² + 5x - 150= 0
then we will get x=10 and other diagonal will be -15 but minus can't be any side of any shape so we have x=10cm and other diagonal is 15 cm.
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