Q:

Which measurements could NOT represent the side lengths of a right triangle? * 1 point A. 6 cm, 8 cm. 10 cm B. 12 cm, 35 cm, 37 cm C. 4 cm, 6 cm, 10 cm D. 10 cm, 24 cm, 26 cm

Accepted Solution

A:
Answer:C. 4cm, 6cm, 10cmStep-by-step explanation:Is a ≀ b < c are the side lengths of a right triangle, then [tex]a^2+b^2=c^2[/tex]A. 6cm, 8cm, 10cm.Substitute:[tex]6^2+8^2=10^2\\36+64=100\\100=100\to TRUE[/tex]B. 12cm, 35cm, 37cm.Substitute:[tex]12^2+35^2=37^2\\144+1225=1369\\1369=1369\to TRUE[/tex]C. 4cm, 6cm, 10cm.It's not the side lengths of a triangle, because 4 + 6 = 10.Without looking at it, we will check equality[tex]4^2+6^2=10^2\\16+36=100\\52=100\to FALSE[/tex]D. 10cm, 24cm, 26cm.Substitute:[tex]10^2+24^2=26^2\\100+576=676\\676=676\to TRUE[/tex]