Question

সুর্য কি আবর্তন এবং পরিক্রমন দুটিই করে?​

Answer 1

Explanation:

S O L U T I O N :

\underline{\bf{Given\::}}

Given:

The perimeter of a rhombus is 60 cm. If the length of its longer diagonal measures 24 cm.

\underline{\bf{Explanation\::}}

Explanation:

As we know that formula of the perimeter of rhombus;

\boxed{\bf{Perimeter = 4 \times side}}

Perimeter=4×side

A/q

\mapsto\tt{Perimeter\:of\:rhombus = 4 \times side}↦Perimeterofrhombus=4×side

\mapsto\tt{60 = 4 \times side}↦60=4×side

\mapsto\tt{Side = \cancel{60/4}}↦Side=

60/4

\mapsto\tt{Side = 15\:cm}↦Side=15cm

Therefore,the all side of rhombus will be 15 cm .

Now, attachment a figure, a/c question:

In ΔOCB :

AC = 24 cm

OC = 1/2 AC

OC = 1/2 × 24

OC = 12 cm

Using by Pythagoras Theorem :

→ (Hypotenuse)² = (Base)² + (perpendicular)²

→ (BC)² = (OC)² + (OB)²

→ (15)² = (12)² + (OB)²

→ 225 = 144 + 0B²

→ OB² = 225 - 144

→ OB² = 81

→ OB = √81

→ OB = 9 cm

&

BD = 2 × OB

BD = 2 × 9

BD = 18 cm

Thus,

The shorter diagonal will be 18 cm