Question

If a triangle in which AB = 4 cm, ∠CAB = ${45}^0$ and BC = 2.92 cm is constructed then the side length of AC is:

• A. 2.54 cm
• B. 3.54 cm
• C. 4.54 cm
• D. 4.1 cm

Answer 1

The correct option is B

3.54 cm

After constructing the triangle as shown above. Measure the side length AC. The side length AC is 3.54 cm.

Step 1: Draw a line, AB, 4 cm long.
Step 2: Draw an arc at 45 degrees with A as the center
Step 3: Draw an arc of radius 2.92 cm with B as the center.
Step 4: Mark, C, the point of intersection of the two arcs and measure AC