Math, asked by mdwaqassiddqui, 4 days ago

. Find the diagonal of a rectangle whose length and breadth are 16.08 cm and 12.06 cm respectively.​

Answers

Answered by MystícPhoeníx
50

Answer:

  • 20.10 cm is the required length of diagonal .

Step-by-step explanation:

According to the Question

It is given that,

  • Length of Rectangle ,L = 16.08 cm
  • Breadth of Rectangle ,B = 12.06 cm

we have to calculate the Length of the diagonal .

Concept:- For solving this problem we can also apply the Pythagoras Theorem here because we know that each angles in rectangle is 90° .

Let AB = 16.08 (Length)

Let BC = 12.06 (Breadth)

and ,AC will be the diagonal of the rectangle .

Now,

Using Pythagoras Theorem

  • AB² + BC² = AC²

By putting the value we get

:\implies (16.08)² + (12.06)² = AC²

:\implies 258.5664 + 145.4436 = AC²

:\implies 404.1 = AC²

:\implies AC = √404.1

:\implies AC = 20.10 cm

  • Hence, the length of the diagonal is 20.10 cm
Answered by esuryasinghmohan
34

Step-by-step explanation:

given :

  • Find the diagonal of a rectangle whose length and breadth are 16.08 cm and 12.06 cm respectively.

to find :

  • length and breadth

solution :

  • (16.08)² + (12.06)² = AC²

  • 258.5664 + 145.4436 = AC²

  • 404.1 = AC²

  • AC = √404.1

  • AC 20.10 cm

answer :

  • Length and breadth = 20.10cm
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