Question

Follow the steps below to construct a triangle a. sketch RS = 7 cm b. draw angle R that it is measures 35 degrees c. draw angle S so that it meausures 55 degrees

Answer 1

Using the sinA/a = sinB/b=sinC/c rule (as shown)

Answer 2

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:

1. Place the compass point on point R and draw an arc that intersects RS.
2. Without changing the compass width, place the compass point on the intersection of the arc and RS.
3. Draw an arc that intersects the previous arc. This will create two points of intersection, choose one as point A.
4. Draw a line from point R to point A. This is angle R, measuring 35 degrees.

c. ) To construct angle S of 55 degrees:

1. Place the compass point on point S and draw an arc that intersects RS.
2. Without changing the compass width, place the compass point on the intersection of the arc and RS.
3. Draw an arc that intersects the previous arc. This will create two points of intersection, choose one as point B.
4. 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.