Here's how you can construct the triangle step by step:
a. ) Start by drawing a line segment RS of length 7 cm.
b. ) To construct angle R of 35 degrees:
- Place the compass point on point R and draw an arc that intersects RS.
- Without changing the compass width, place the compass point on the intersection of the arc and RS.
- Draw an arc that intersects the previous arc. This will create two points of intersection, choose one as point A.
- Draw a line from point R to point A. This is angle R, measuring 35 degrees.
c. ) To construct angle S of 55 degrees:
- Place the compass point on point S and draw an arc that intersects RS.
- Without changing the compass width, place the compass point on the intersection of the arc and RS.
- Draw an arc that intersects the previous arc. This will create two points of intersection, choose one as point B.
- Draw a line from point S to point B. This is angle S, measuring 55 degrees.
Now you have a triangle RAS where angle R measures 35 degrees and angle S measures 55 degrees, and RS is 7 cm in length.