Advertisements
Advertisements
प्रश्न
If diagonal of a rectangle is 26 cm and one side is 24 cm, find the other side.
Advertisements
उत्तर
Suppose ABCD is a rectangle.
Here, segment AC is a diagonal and segment AD is one side of the rectangle ABCD.
l(AC) = 26 cm and l(AD) = 24 cm.
In right ∆ACD,
l(AC)2 = l(AD)2 + l(CD)2 ...(Pythagoras theorem)
⇒ l(CD)2 = l(AC)2 − l(AD)2
⇒ l(CD)2 = (26)2 − (24)2
⇒ l(CD)2 = 676 − 576 = 100
⇒ l(CD) = `sqrt(100)` = 10 cm
Thus, the other side of the rectangle is 10 cm.
संबंधित प्रश्न
Name the quadrilaterals whose diagonals are equal
The shorter side of a parallelogram is 4.8 cm and the longer side is half as much again as the shorter side. Find the perimeter of the parallelogram.
In the following figure, BDEF and DCEF are each a parallelogram. Is it true that BD = DC? Why or why not?
Which of the following statement is true for a rectangle?
Its diagonals bisect each other.
Which of the following statement is true for a rectangle?
Its diagonals are perpendicular.
Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.
If the diagonals of a parallelogram are of equal lengths, the parallelogram is a rectangle. Prove it.
All squares are rectangles.
PQRS is a rectangle. The perpendicular ST from S on PR divides ∠S in the ratio 2:3. Find ∠TPQ.
In rectangle PAIR, find ∠ARI, ∠RMI and ∠PMA.
