Question

The area of a rhombus is 225 cm². If one of the diagonals is 25 cm, find the length of the other diagonal​

Answer 1

Given

Area of rhombus is 225m²

One of diagonal is 25cm

To Find

Length of other Diagonal

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

Step by step explanation

1. First we write formula of area of rhombus.
2. then put values which is given in the Question into formula.
3. The require answer

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

$\sf \longmapsto225 = \dfrac{D_{1}\times 25}{2}$

$\sf \longmapsto \: d1 \times 25 = 450$

$\sf \longmapsto \: D_{1} = 18$

∴Length of other diagonal is 18cm

Check

$\sf \longmapsto \: area = \dfrac{18 \times 25}{2} = \dfrac{450}{2} ={ \red{ 225}}$

Extra information=>

1. Opposite sides and angles are equal.
2. Diagonals bisects each other at right angle.
3. Two adjacent angles of rhombus makes 180°