Question

The area of a rhombus is 120cm and one of its diagonal is 16cm. Find the other
diagonal​

Answer 1

Answer:

area of a rhombus= 1/2×d1×d2

120 cm = 1/2×16 cm ×d2

d2= (120/8) cm

therefore d2 = 15 cm

Answer 2

$\huge\sf{\underline{To \: Find}} \: -$

Find the another diagonal of a rhombus whose one diagonal is 16cm.

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$\large\bold{\underline{Given}} :$

• Area of this rhombus = 120cm²
• One diagonal = 16cm

$\huge\bold{\underline{\underline{Answer}}} \: -$

$\large\orange{\fbox{\tt{Area\:of\:a\:rhombus\:=\:½\:×\:d¹\:×\:d²}}}$

→ let the other diagonal be y

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So, area of this rhombus acc. to the formula =

$\sf120 \: cm {}^{2} = \frac{1}{ \not{2}} \times \not{16} \times y \\ \\ \implies \sf120 \: cm {}^{2} = 8 \times y \\ \implies \sf y = \frac{ { \large\not}{120}}{ \not{8}} \\ \implies \boxed { \bold{y = 15 \: cm}}$

∴ The other diagonal of this rhombus is 15cm long.

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