What is the length of missing side IH? ROUND answer to nearest tenth please.

56.27 in

Step-by-step explanation:

You can determine the length of the missing side IH by using sine law.

In the form of a/sinA = b/sinB = c/sinC, you can substitute an angle and its corresponding side, which in this case is angle I and side i, and do so with the other angle, which is angle X and side x.

   74      =    IH  

sin97        sin49

after this, multiply both sides by sin49 to isolate side IH -

(sin49) x   74   = IH

               sin97

now plug all the numbers into a calculator and you will get the answer, 56.26792; when rounded, it should be 56.27 in.

this answer is !

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.