-------------------------- Isosceles triangle -------------------------- ⇒ the other length is also 8
---------------------------------------------------- Formula ---------------------------------------------------- a² + b² = c²
---------------------------------------------------- Apply formula and solve for h ---------------------------------------------------- 8² + 8² = h² h² = 64 x 64 h² = 128 h = √128 h = √(64 x 2) h= 8√2
---------------------------------------------------- Answer: h = 8√2 (Answer D) ----------------------------------------------------
The correct answer is: [D]: " 8√2 " . _____________________________________________________
Since this is a "45-45-90" triangle;
and we are given that one of the "non-hypotenuse sides" is "8" ;
The other non-hypotenuse side is "8"; and the hypotenuse, "h", (as denoted in the image), is equal to: "8√2"
Note: The rule for "45-45-90" triangles: the sides are "x, x, and x√2" ; in which: "x√2" is the hypotenuse. ____________________________________________________
