Advertisements
Advertisements
Question
If diagonal of a rectangle is 26 cm and one side is 24 cm, find the other side.
Advertisements
Solution
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.
RELATED QUESTIONS
In a parallelogram ABCD, the diagonals bisect each other at O. If ∠ABC = 30°, ∠BDC = 10° and ∠CAB = 70°. Find:
∠DAB, ∠ADC, ∠BCD, ∠AOD, ∠DOC, ∠BOC, ∠AOB, ∠ACD, ∠CAB, ∠ADB, ∠ACB, ∠DBC and ∠DBA.
The angle between the altitudes of a parallelogram, through the same vertex of an obtuse angle of the parallelogram is 60°. Find the angles of the parallelogram.
Which of the following statement is true for a rectangle?
Its diagonals are equal.
Fill in the blank of the following, so as to make the statement true:
A square is a rectangle in which .....
Draw a rectangle whose one side measures 8 cm and the length of each of whose diagonals is 10 cm.
The following figure is a rectangle in which x: y = 3: 7; find the values of x and y.
For which of the following figures, all angles are equal?
Every rectangle is a trapezium.
In a rectangle ABCD, AB = 25 cm and BC = 15. In what ratio does the bisector of ∠C divide AB?
Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.
