# Diagonals

A diagonal of a rhombus is 20 cm long. If it's one side is 26 cm find the length of the other diagonal.

Result

u =  48 cm

#### Solution:

$a=26 \ \\ v=20 \ \\ a^2=(u/2)^2+(v/2)^2 \ \\ u=2 \cdot \ \sqrt{ a^2-(v/2)^2 }=2 \cdot \ \sqrt{ 26^2-(20/2)^2 }=48 \ \text{cm}$

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