Question

the length of diagonal of rhombus are 16cm and 12cm length of side
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Answer 1

$\huge\underline{\underline{\bf \green{Question-}}}$

The length of diagonal of rhombus are 16cm and 12cm length of side.

$\huge\underline{\underline{\bf \green{Solution-}}}$

$\large\underline{\underline{\mathfrak \red{Note-}}}$

Lenght of diagonal of Rhombus is perpendicular bisector of eachother .

Let ,

AC = 16 cm

BD = 12 cm

⛬ OA = 8 cm & OB = 6cm

In right ∠AOB By Pythagoras Theorem⎯

AB²⠀= ⠀⠀AO²⠀⠀+⠀⠀⠀OB²

AB²⠀=⠀⠀⠀8²⠀⠀+⠀⠀⠀⠀6²

AB²⠀=⠀⠀⠀64⠀⠀+⠀⠀⠀⠀36

AB²⠀=⠀⠀⠀100

${\bf \red{AB=10}}$

$\huge\underline{\underline{\bf \green{Answer-}}}$

Lenght of side is ${\bf \red{10\:cm}}$

Answer 2

Diagonal of rhombus bisect each other at 90°

AC = 16 cm

BD = 12 cm

⛬ OA = 8 cm & OB = 6cm

In right ΔAOB

(AB)²⠀= (AO)² + (OB)²

(AB)²⠀=⠀⠀8²⠀+⠀⠀6²

(AB)²⠀=⠀⠀64⠀+⠀⠀36

(AB)²⠀=⠀⠀100

AB = √100

AB = 10

Length of side is ${\bf \red{10\:cm}}$