find the perimeter of the rectangle whose length is 40 cm and diagonal is 41. (pythagorus theorum)
Answers
Answered by
0
Answer:
9 cm
Step-by-step explanation:
In a rectangle:
One length, one breadth and one diagonal which are adjacent form a right angled triangle:
In which,
Perpendicular = breadth
{Let breadth be x}
Base = Length = 40cm
Hypotenuse = Diagonal = 41 cm
Now it is right angled triangle,
So, by Pythagoras theorem:
(41)² = (40)² + (x)²
= 1681 = 1600 + x²
= x² = 1681 - 1600
= x² = 81
= x² = 9²
= x = 9
So, Breadth = x = 9 cm
Hope, you got it :-))
Please, mark it as brainiest!!
Answered by
0
Answer:
b²=41²-40²
b²=1681-1600
b²=81
b²=root of 81
b=9
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