Question

what is the length of longest segment which can be drawn in a rectangle of length 84 cm and breadth is 13 cm?​

Answer 1

Answer:

the longest segment = diagonal

Step-by-step explanation:

We can find the diagonal through Pythagoras theorem as a diagonal divides rectangle into two equal right angled triangles. Also both the diagonals of a rectangle are equal.

Let the diagonal be 'x'

Therefore by Pythagoras theorem,

   x² = 84²+13²

⇒   x²   =  7056 + 169 = 7225

⇒   x    =  √7225

⇒   x    = 85

_

_

_

Therefore the length of the longest segment is 85cm.

_

_

Hope that helped you!

Mark this as brainliest!