the length of a rectangular park is 80m and its breadth is 60m . find the length of the diagonal
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Answered by
46
Answer:
Step-by-step explanation:
Length of the rectangle = 80 m
Breadth of the rectangle =60 m
A diagonal divides a rectangle into two right angled triangles.
Hence each triangle will have:
- length as height
- breadth as base
- diagonal as hypotenuse
Therefore,
(diagonal)^2 = (length)^2 +(breadth)^2
(diagonal)^2 = 80*80 +60*60
(diagonal)^2 = 6400+3600
(diagonal)^2 = 10000
diagonal= 100 m
HOPE IT HELPS....
lucifer4087:
hi
Answered by
65
The Diagonal of the Rectangle is 100 m.
Given :
Length of the Rectangle = 80m
Breadth of the Rectangle = 60m
To find :
The Diagonal of the Rectangle
Solution :
By using Pythagoras Theorum ;
In ∆ ADC :
• Base = 80 cm (CD)
• Height = 60 cm (AC)
• Hypotenuse = x (AD)
★
10000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
2 × 2 × 5 × 5
100
The Hypotenuse = 100 m
The Diagonal of the Rectangle is 100 m.
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