the length of a rectangle is 36cm and its diagonal is 37cm find its breadth
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Hello, Buddy!!
Given:-
- Length of Rectangle is 36cm.
- Length of diagonal of the rectangle is 37cm.
To Find:-
- Breadth of Rectangle.
Required Solution:-
Let,
ABCD is the Rectangle
Breadth be x
Then, AB = CD → 36cm
AC = BD → 37cm
Now,In ∆ABC, Angle B is 90°
- As, Every Angle of a Rectangle is a Right Angle [90°]
By Pythagoras Theorem.
- (Hypothenuse)² = (Side)²+(Side)²
→ (AC)² = (AB)²+(BC)²
→ (37)² = (36)²+(x)²
→ (x)² = 1369-1296
→ x = √(73)
→ x = 8.544
- Diagonal of Rectangle ☞ 8.544cm
✧ Diagonals of a Rectangle divides it into two Congruent Triangles.
@MrMonarque♡
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