Answer:
root 10, 3 root 10
Step-by-step explanation:
Let the length of the shorter side be x
Hence,
the length of the longer side= 3x
Length of the diagonal= 10 cm
We know that the sides of the triangle intersect at right angles...
Hence,
By using the pythagoreas property...
[tex] {x}^{2} + {(3x)}^{2} = {10}^{2} \\ {x}^{2} + 9 {x}^{2} = 100 \\ 10 {x}^{2} = 100 \\ {x}^{2} = 10 \\ x = \sqrt{10} [/tex]
Hence,
length of the shorter side=
[tex] \sqrt{10} [/tex]
The length of the longer side =
[tex]3 \sqrt{10} [/tex]
