the length of the dignoal of a square is 50cm, find the perimeter of the square
Answers
Answered by
1
perimeter=141.6 cm
Step-by-step explanation:
draw another diagonal from the other end
length of a side= (using pythagoras theorem)
=35.4 cm
perimeter=35.4x4
=141.6 cm
Answered by
5
Given:
- Length of diagonal of square = 50 cm
To find:
→ Perimeter of square = ?
Solution:
Let the sides of the square be x cm.
(Refer the attachment)
In ∆ABC,
By Pythagoras theorem,
(AC)² = (AB)² + (BC)²
⇒ 50² = x² + x²
⇒ 2500 = 2x²
⇒ x² = 2500 ÷ 2
Perimeter of a square = 4 × side
⇒ Perimeter = 4 × 25√2
Perimeter of square = 100√2 cm
Attachments:
Anonymous:
Nice
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