Math, asked by rashi4717, 3 months ago

Good friends ❤️❤️ but iss question ke baad hehe
The perimeter of a rhombus is 60 cm. the longer diagonal measure 24cm , the length of the  shorter diagonal is.. 
a) 20
b) 18
c) 15
d) 9
plz tell me right answer​

Answers

Answered by LoboJuliee
6

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

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

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

As we know that formula of the perimeter of rhombus;

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

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

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

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

\mapsto\tt{Side = 15\:cm}

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 .

\huge\underline{\overline{\mid{\bold{\red{\mathcal{ Hope \:  \:  It  \:  \: Is  \:  \: Help \:Full}}\mid}}}}

Answered by Anonymous
36

\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;

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

Perimeter=4×side

\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 .

\huge\underline{\overline{\mid{\bold{\red{\mathcal{ Hope \: \: It \: \: Is \: \: Help \:Full}}\mid}}}}

∣HopeItIsHelpFull∣

Similar questions