Question

the area of rhombus is 120cmsquare and one of the diagonals is 8cm find the other diagonal​

Answer 1

Question :-

The area of rhombus is 120cm² and one of the diagonals is 8cm find the other diagonal.

Answer :-

Given :-

Area of rhombus = 120cm²

Diagonal(1) of rhombus = 8cm

Find :-

Diagonal(2) of rhombus

Solution :-

Area of Rhombus =

⇛1/2 × d1 × d2

⇛1/2 × 8cm × x = 120cm²

⇛1/2 × x = 120cm²/ 8cm

⇛1/2x = 15cm

⇛x = 15×2

⇛30cm

Hence, The other diagonal of rhombus is 30cm

Verify :-

Area of rhombus =

⇛1/2 × d1 × d2 = 120cm²

⇛1/2 × 8cm × 30cm = 120cm²

⇛1/2 × 240cm = 120cm²

⇛120cm² = 120cm²

Hence, Verified

Answer 2

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$\large\bold\green{Given :-}$

The area of rhombus is 120 cm² and one of the diagonals is 8 cm

$\large\bold\orange{Find :-}$

Length of other diagonal.

$\large\bold\red{Formula \: used }$

$\small\bold\red{area \: of \: rhombus \: = \frac{1}{2} \times d_1 \times d_2}$

[{♧Solution♧}[/tex]

$\small\bold\red{area \: of \: rhombus \: = \frac{1}{2} \times d_1 \times d_2} \\ 120 = \frac{1}{2} \times 8 \times d_2 \\ = > \: d_2 = \frac{120 \times 2}{8} \\ = > \: d_2 \: = 30 \: cm$

$where \: d_1 = length \: of \: one \: diagonal \\ d_2 = length \: of \: other \: diagonal$

$\huge \fcolorbox{black}{cyan}{♛Hope it helps U♛}$