riya was drawing a rectangle on her worksheet,then length of diagonal of a rectangle having length 12m and breadth 5m is
Answers
Length = 12 m
Breadth = 5 m
Diagonal
We know that
D² = L² + B²
(D)² = (12)² + (5)²
(D)² = 144 + 25
(D)² = 169
(D) = √169
D = 13 cm
Hence
Length of diagonal is 13 cm
Given : Riya was drawing a rectangle on her worksheet,
a rectangle having length 12m and breadth 5m
To Find : length of diagonal of the rectangle
Solution:
All the angles of rectangle are 90°
Hence two adjacent sides and Diagonal form a right angle triangle
Using Pythagorean Theorem
Diagonal² = 12² + 5²
=> Diagonal² = 144 + 25
=> Diagonal² = 169
=> Diagonal = ± 13
As Length can not be negative
Hence Diagonal length = 13 m
length of diagonal of the rectangle is 13 m
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