The red tablecloth has a diagonal of V 10 feet. The blue tablecloth has a diagonal
V 50 Teet. Aaron says that the length of the diagonal of the blue tablecloth is three
times the length of the diagonal of the red tablecloth.
Is he correct? Explain.

the length of the diagonal of the blue tablecloth is five times the length of the diagonal of the red tablecloth. So , Aaron is not correct .

Step-by-step explanation:

Here we have , The red tablecloth has a diagonal of V 10 feet. The blue tablecloth has a diagonal  V 50 feet .  Aaron says that the length of the diagonal of the blue tablecloth is three  times the length of the diagonal of the red tablecloth. Let's find out what Aaron says is correct or not :

Length of red tablecloth = 10 feet = p feet

Length of blue tablecloth = 50 feet

⇒ Length of blue tablecloth = 50 feet

⇒ Length of blue tablecloth = 5(10) feet

⇒ Length of blue tablecloth = 5p feet

That means the length of the diagonal of the blue tablecloth is five times the length of the diagonal of the red tablecloth. So , Aaron is not correct .

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step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)