Question

Find the diagonal of a rectangle whose length is 35 cm and breadth is 12 cm. ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer

We know that, if a diagnol passes through any rectangle or square, we can observe that we get two right angled triangles in the rectangle. We always know that, we should use the concept of the Pythagoras theorem. We use this method to find the values of unknown sides of right angled triangle.

According to the question,

$\sf \dashrightarrow {Base}^{2} + {Perpendicular}^{2} = {Hypotnous}^{2}$

$\sf \dashrightarrow {35}^{2} + {12}^{2} = {Hypotnous}^{2}$

$\sf \dashrightarrow 1125 + 144 = {Hypotnous}^{2}$

$\sf \dashrightarrow {Hypotnous}^{2} = 1125 + 144$

$\sf \dashrightarrow {Hypotnous}^{2} = 1369$

$\sf \dashrightarrow Hypotnous = \sqrt{1369}$

$\sf \dashrightarrow Hypotnous = 37$

We know that the diagnol in a rectangle or square has the greatest measurement compared to all the other sides. So, in a right angled triangle also we have the diagnol as the greatest side. So, we can conclude that the diagnol of the rectangle is same as the hypotnous of the triangle obtained.

Hence, the diagonal of the rectangle measures 37 cm.