The hypotenuse of a 45°-45°-90° triangle measures 22 square root 2 units

22units

Step-by-step explanation:

Using the SOH CAH TOA method to solve the problem since the triangle is a 45°-45°-90° triangle which is a right angled triangle due to the presence of 90° as one or the angles.

If one of the sides is 22√2units,

Using SOH which states;

sin(theta) = Opposite/Hypotenuse

theta =45° (the angle facing one of the acute angle in the triangle)

Opposite side = 22√2

Substituting the datas into the formula we will have;

Sin 45° = 22√2/Hyp

1/√2 = (22√2)/Hyp

Cross multiplying;

Hypotenuse = √2×22/√2

Hypotenuse = 22units

answer: a clock

step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.