LMN is a right angled triangle with M being the right angle
LN=(√27+√12)
MN=(√18+√8)
Show that MN=5cm
Need a non calculator answer that explains it well because I don't really understand what to do.
+36916 Since it is a right triangle and LN is the hypotenuse: (your question asks for MN, but I suspect you meant ML)
ln^2 - mn^2 =ml^2
(sqrt27 + sqrt12)^2 - (sqrt18+sqrt8)^2 = ML^2 Do the math to find ML
(27+12 + 2 (sqrt(27x12)) - (18+8 + 2 sqrt(18x8)) = ML^2
(39+ 36) - (26+ 24) = ML^2
75-50= ML^2
25= ML^2
5 = ML
