Math, asked by sabafathima37422, 2 months ago

The area of a rhombus is 36 cm2 and the length of one of its diagonal is 6cm.The length of the second diagonal is

Answers

Answered by anshikapotter95
0

Answer:

12cm

Step-by-step explanation:

Area=36cm²

length of d1= 6 cm

length of d2 = d

Area of rhombus = 1/2 x d1 x d

36 = 1/2 x 6 x d

36 = 3d

d = 36/3

d = 12

∴ the length of second diagonal is 12 cm

Answered by jackzzjck
5

Answer:

\red\bigstar The length of the second diagonal is 12cm.

SOLUTION

\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\line(1,3){1.5}}\put(0,0){\line(1,0){5}}\put(5,0){\line(1,3){1.5}}\put(1.5,4.5){\line(1,0){5}}\put(-0.5,-0.5){\sf D}\put(1,4.8){\sf A}\put(5.2,-0.5){\sf C}\put(6.7,4.75){\sf B}\end{picture}

\sf Area \; of \: the \: rhombus = \dfrac{1}{2} * d1*d2

[Here,d1 and d2 are the two diagonals of the rhombus]

Here,

Area of the rhombus = 36 cm².

Also, let us assume that first diagonal (d1) = 6cm.

\implies \sf 36 = \dfrac{1}{2} * 6* d2

\implies \sf 36 * 2 = 6* d2

\implies \sf 72 = 6 d2

\implies \sf  d2 = \dfrac{72}{6}

\implies d2 = 12 cm.

∴ The length of the second diagonal , d2 = 12cm.

QUESTION (FOR PRACTICE)

Q.The area of a rhombus is 56 cm² . If the length of one of its diagonal is 16 , then length of the second diagonal is ?

Answer (For Verification) → The length of the second diagonal is 7 cm.

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