Advertisement Remove all ads

Each Side of a Rhombus is 10 Cm. If One of Its Diagonals is 16 Cm Find the Length of the Other Diagonal. - Mathematics

Each side of a rhombus is 10 cm. If one of its diagonals is 16 cm find the length of the other diagonal.

Advertisement Remove all ads

Solution

We have,

ABCD is a rhombus with side 10 cm and diagonal BD = 16 cm

We know that diagonals of a rhombus bisect each other at 90°

∴ BO = OD = 8 cm

In ΔAOB, by pythagoras theorem

AO2 + BO2 = AB2

⇒ AO2 + 82 = 102

⇒ AO2 = 100 − 64 = 36

⇒ AO = `sqrt36` = 6 cm          [By above property]

Hence, AC = 6 + 6 = 12 cm

Concept: Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Exercise 7.7 | Q 15 | Page 120
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×