Math, asked by MonarkSinghD, 1 year ago

Find the length of diagonal of a rectangle whose sides are 15 cm and 8 cm?

Answers

Answered by rajeev378
12
Here is your answer

Length = 15 cm
Breadth = 8 cm
Let the Diagonal is x cm


AS we know that the all angles of the rectangle are 90°
So
Diagonal^2 = L^2+B^2

 {x}^{2}  = (15) {}^{2}  + 8 {}^{2}  \\  {x}^{2}  = 225 + 64 \\  { x}^{2}  = 289 \\ x =  \sqrt{289}  \\ x = 17 \: cm
Therefore Diagonal of the rectangle is 17 cm

Hope it helps you


rajeev378: Thanks for the brainliest
suryanshsoni4: wahat is' ^ ' in lines of diaognal ^2
Answered by king1245
2
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Hey Mate!!

As we know the formula,

D^2 = L^2+B^2

d {}^{2} = 15 {}^{2} + 8 {}^{2} \\ d {}^{2} = 225 + 64 \\ d = \sqrt{289} \\ d = 17 \: cm

So Diagonal is 17 cm

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