Question

in a rectangle length=8,breadth=6 then find it diagonal

Answer 1

given

Length= 8

Breadth= 6

diagonal of rectangle =√ length ²+ breadth ²

diagonal of rectangle= √8²+6²

diagonal of rectangle=√ 64+36

diagonal of rectangle= √100 = 10

Diagonal of rectangle = 10

Hope it helps to you.

Answer 2

let the diagonal be x
since each angle of the rectangle is 90°
therefore, by Pythagoras theorem
${x}^{2} = {8}^{2} + {6}^{2} \\ {x}^{2} = 64 + 36 \\ {x}^{2} = 100 \\ x = \sqrt{100 } \\ x = 10$
therefore, the diagonal=10.