Question

In a 45°-45°- 90° triangle, if the legs each have a length of 4, then what is the length of the hypotenuse?

Answer 1

pytthagorean theorem
4^2 + 4^2 = c^2
16 + 16 = c^2
32 = c^2
c = sqrt(32) <- hypotenuse

Answer 2

multiple choices are

a. sqrt 2
b. 4 sqrt 2
c. 4
d. 4sqrt 3

Answer 3

if you simpllfied sqrt(32) it becomes 2sqrt(8) =4sqrt(2) so b

Answer 4

Just remember that the hypotenuse is always the leg √ 2 that's a shortcut behind all of the math! ex: if your leg was 5 the your hypotenuse would be 5√ 2

Answer 5

This method is used when dealing with an isosceles triangle/ 45 45 90 degree triangle.

Answer 6

thanks!

Answer 7

no problem!