Find the diagonal $d_{2}$ of a rhombus if side $a = 23 cm$ and diagonal $d_{1} = 40 cm$ .

Answer

$2129 cm$

Explanation

To find diagonal $d 2$ use formula:

d_{1}^{2} + d_{2}^{2} = 4 \cdot a^{2}

After substituting $d_{1} = 40 cm$ and $a = 23 cm$ we have:

(40 cm)^{2} + d_{2}^{2} = 4 \cdot (23 cm)^{2}

1600 cm^{2} + d_{2}^{2} = 2116 cm^{2}

d_{2}^{2} = 2116 cm^{2} - 1600 cm^{2}

d_{2}^{2} = 516 cm^{2}

d_{2} = 516 cm^{2}

d_{2} = 2129 cm

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Find the diagonal d2​ of a rhombus if side a=23cm and diagonal d1​=40cm.

2129​cm

Find the diagonal $d_{2}$ of a rhombus if side $a = 23 cm$ and diagonal $d_{1} = 40 cm$ .

$2129 cm$