हिंदी

Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal. - Geometry

Advertisements
Advertisements

प्रश्न

Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.

योग
Advertisements

उत्तर

Let `square`ABCD be the rectangle.

AB = 7 cm, BC = 24 cm

In ∆ABC,

∠B = 90°           ...[Angle of a rectangle]

From Pythagoras theorem,

AC2 = AB2 + BC2

AC2 = 72 + 242

AC2 = 49 + 576

∴ AC2 = 625

∴ AC = `sqrt(625)`

∴ AC = 25 cm

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Quadrilaterals - Problem Set 5 [पृष्ठ ७४]

APPEARS IN

बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
अध्याय 5 Quadrilaterals
Problem Set 5 | Q 2 | पृष्ठ ७४

संबंधित प्रश्न

In the following figure, ABCD and AEFG are parallelograms. If ∠C = 55°, what is the measure of ∠F?

 


Which of the following statement is true for a rectangle? 

 Its diagonals are equal.


Which of the following statement is true for a rectangle? 

Its diagonals are perpendicular.


Which of the following statement is true for a rectangle? 

 Its diagonals are equal and perpendicular, and bisect each other.


Which of the following statement are true for a square? 

 It has all its sides of equal length.


Which of the following statement  true for a square? 

 Its diagonals are equal to its sides.


The sides of a rectangle are in the ratio 4 : 5. Find its sides if the perimeter is 90 cm.


Using opposite angles test for parallelogram, prove that every rectangle is a parallelogram.


The following figure is a rectangle in which x: y = 3: 7; find the values of x and y.


Show that the bisectors of angles of a parallelogram form a rectangle


A quadrilateral whose opposite sides and all the angles are equal is a ______.


If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a ______.


A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and ∠PQR = 90°. Then PQRS is a ______.


All squares are rectangles.


Rectangle is a regular quadrilateral.


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?


Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. Find the value of x if JF = 8x + 4 and EG = 24x – 8.


Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×