## A Rectangle has diagonals of length 13 cm and width is 5 cm. Find the length of its side?

Question

A Rectangle has diagonals of length 13 cm and width is 5 cm. Find the length of its side?

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Mathematics
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2021-07-19T02:10:11+00:00
2021-07-19T02:10:11+00:00 2 Answers
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## Answers ( )

Answer:It’s 34 cm

Step-by-step explanation:Width of a rectangle = 5 cm

Diagonal of a rectangle = 13 cm

By Pythagoras Theorem,

Length of a rectangle = √(13² – 5²)

Or, Length of a rectangle = √(169 – 25)

Or, Length of a rectangle = √144

Or, Length of a rectangle = 12 cm

Perimeter of a rectangle = 2(12+5)

Or, Perimeter of a rectangle = 2×17

Or, Perimeter of a rectangle = 34 cm

Therefore, the perimeter of a rectangle = 34 cm

Answer:Length = 12 cm

Step-by-step explanation:using the Pythagorean theorem:

Length² = 13² – 5² = 169 – 25 = 144

Length = √144 m= 12 cm