Math, asked by atsgpd5, 1 month ago

the area of a rhombus is 468 sq m and length one of its diagonal is 26 find the length of other diagonal ​

Answers

Answered by aayushi2710
0

Answer:

Area of rhombus =468 sq m

1/2d1×d2=468

1/2×26×d2=468

d2=468×2/26

d2=936/26

d2=36m

Answered by Anonymous
96

Given :-

  • Area of a rhombus is 468 sq m.
  • Length one of its diagonal is 26 m.

Need to find :-

  • The length of other diagonal ?

Solution :-

• We know that :

 \leadsto{ \boxed{ \bold{ \rm{Area_{(Rhombus)} =  \frac{1}{2}  \times d_{1 } \times d_{2 }}}}}

Now, Substitute the given values in the formula : we get,

\leadsto{ \rm{468=  \frac{1}{2}  \times 26\times d_{2 }}}

\leadsto{ \rm{  d_{2 } = \frac{468 \times 2}{26}}}

\leadsto{ \rm{  d_{2 } = \frac{468 \times \cancel 2}{ \cancel{26}}}}

\leadsto{ \rm{  d_{2 } = \frac{468}{13}}}

\leadsto{ \rm{  d_{2 } = \cancel \frac{468}{13}}}

\leadsto{ \rm{  d_{2 } = 36 \: m}}  \: \bigstar

Henceforth, the length of other diagonal is 36 m.

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