Question

area of rhombus with one side 25 cm and one diagonal 30 cm in length​

Answer 1

hope it's helpful to you mate

Answer 2

Given

One side of rhombus is 25cm

One diagonal is 30cm

To Find

Area of rhombus

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Step by step explanation

Here ,only one side and one diagonal is given and we have to find area of rhombus so we first have to find another diagonal .

Formula for finding other diagonal when one side and one diagonal is given:

$\sf \: D_{2}= \sqrt{4 {a}^{2} - {d_{1}}^{2} }$

$\sf \: D_{2}= \sqrt{4 {(25)}^{2} - {(30)}^{2} }$

$\sf \: D_{2}= \sqrt{4 \times 625 - 900}$

$\sf \: D_{2}= \sqrt{2500 - 900} = \sqrt{1600} = 40$

$\therefore\sf \: D_{2}=40cm$

$\sf \large\boxed{\: Area \: of \: Rhombus= \dfrac{D_{1} \times D_{2 }}{2}}$

$\sf \: Area \: of \: Rhombus= \dfrac{40\times 30}{2} = \dfrac{1200}{2} = 60$

$\sf \therefore Area \: of \: Rhombus= 60 {cm}^{2}$