H.
एका आयताची लांबी 35 सेमी व रुंदी 12 सेमी आहे तर त्या आयताच्या कर्णाची लांबी काढा.
answer
Answers
Given:
If the length of a rectangle is 35 cm and the width is 12 cm
To find:
The length of the diagonal of that rectangle
Solution:
Let's assume,
ABCD represents the rectangle
AB → length of the rectangle = 35 cm
BC → width of the rectangle = 12 cm
AC → diagonal of the rectangle
From the properties of a rectangle, we know that → each angle of a rectangle is a right angle.
So, considering Δ ABC from the rectangle ABCD, we have
∠B = 90°
AB = base = 35 cm
BC = perpendicular = 12 cm
AC = Hypotenuse
According to the Pythagoras theorem, we get
Hypotenuse² = Perpendicular² + Base²
⇒ AC² = BC² + AB²
substituting the values of AB & BC
⇒ AC² = 12² + 35²
⇒ AC² = 144 + 1225
⇒ AC² = 1369
⇒ AC = √1369
⇒ AC = 37 cm
Thus, the length of the diagonal of that rectangle is → 37 cm.
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