. Find the diagonal of a rectangle whose length and breadth are 16.08 cm and 12.06 cm respectively.
Answers
Answered by
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
(16.08)² + (12.06)² = AC²
258.5664 + 145.4436 = AC²
404.1 = AC²
AC = √404.1
AC = 20.10 cm
- Hence, the length of the diagonal is 20.10 cm
Answered by
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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