Question

The length of the hypotenuse of a 45°-45°-90° triangle is 12 units. Find the exact value of the length of the leg.



6 units


6√2 units


6√3 units


12 √2 units

Answer 1

isnt it 6√3

Answer 2

:/ im so confused

Answer 3

Since this is a 45-45-90 degree triangle that would mean that the two sides are equal so we can do this equation....

\[\frac{ 10 }{ \sqrt{2} }\]

Answer 4

meant 12...

Answer 5

Why not follow Pythagoras \[2x^2=12^2\] with the knowledge of equal legs.

Answer 6

@RhondaSommer

Answer 7

but how do i get any of those choices?

Answer 8

To change \(\LARGE{\frac{ 12 }{ \sqrt{2} }}\) into radical form you would think of what times 2 equals 12 well it would be 6....so \(\Large{\sqrt{2 \times 6}}\)so we would take the 6 on the outside and leave 2...so our answer would be...\(\Huge\color{red}{6\sqrt{2}}\)

Answer 9

ohhhh

Answer 10

so you got it ^^

Answer 11

yep!!

Answer 12

great ^^