Answer:
[tex]4.5 cm=L2[/tex]
Step-by-step explanation:
This problem can be solved using the pythagorian theoreme:
[tex]H=\sqrt{L1^{2}+L2^{2} }[/tex]
Where:
[tex]H=6 cm[/tex]
[tex]L1=4 cm[/tex]
[tex]L2=?[/tex]
We isolate our incognita an we get:
[tex]\sqrt{H^{2}-L1^{2}} =L2[/tex]
We supplant with the given data:
[tex]\sqrt{(6cm)^{2}-(4cm)^{2}} =L2[/tex]
[tex]\sqrt{36cm^{2}-16cm^{2}} =L2[/tex]
[tex]\sqrt{36cm^{2}-16cm^{2}} =L2[/tex]
[tex]\sqrt{20cm^{2}} =L2[/tex]
[tex]4.5 cm=L2[/tex]