The hypotenuse of a 45-45-90 triangle measures 22 square root2 units. what is the length of one leg of the triangle?

The length of one leg is

Step-by-step explanation:

we know that

In a right triangle the length of the two legs are equal

Let

x-----> the length of one leg

y----> the hypotenuse

Remember that

In this problem

we have

substitute and solve for x

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.