Question

A table coaster in the shape of a rhombus has
diagonals of lengths 10 cm and 24 cm. Find the
length of each side of the coaster.
pls solve by Pythagoras theorem​

Answer 1

Given:-

• Length of Diagonals of rhombus shaped table coaster are 10 & 24cm.

To find:-

• Length of each side of coaster.

Solution:-

Let ABCD be the table coaster.

=> The diagonals bisect at O.

❥︎ The diagonals of rhombus intersect each other at right angles.

Therefore,

→ AO = 1/2 × AC

⇒ 1/2 × 10 = 5cm.

→ BO = 1/2 × BD

⇒ 1/2 × 24 = 12 cm.

By pythagoras theorem :

From ΔAOB ,

⇒ AB² = AO²+BO²

⇒ AB² = 5² + 12² = 25 +144 = 169.

⇒ AB = √169

⇒ AB = 13 cm.

Hence, length of each side of coaster is 13cm.

__________________