Adjacent sides of a rectangle are 12cm and 5cm then the length of its diagonal is _______ cm
Answers
Answered by
9
Rectangle
Solve for diagonal
d=13cm
l Length 12cm
w Width 5 cm
Solution
d=w²+l²=5²+12²=13cm
hope it will help you ❄️
Answered by
9
GivEn :
- Sides of the rectangle are 12cm and 5cm.
To find :
- The length of the diagonal?
Solution :
☯ Let's consider ABCD is a rectangle.
★ According to the Question:
- AB² + BC² = CA²
As we know that,
✮ Pythagoras theorem!
⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀
Therefore,
➻ CA² = AB² + BC²
➻ CA² = (5)² + (12)²
➻ CA² = 25 + 144
➻ CA² = 169
➻ √CA = √169
➻ CA = 13cm
∴ Hence, The length of its Diagonal is 13cm.
⠀⠀━━━━━━━━━━━━━━━━━━━━━
✮ More to know:
- Area of rectangle = length × breadth
- Diagonal of rectangle = √(length)² + (breadth)²
- Area of square = side × side
- Perimeter of square = 4 × side
- Diagonal of rectangle = √2 × side
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