Question

Using a ruler and pair of compass only, construct triangle ABC such that AB=10cm, ∠ABC=60, and ∠BAC=30.

Answer 1

To construct triangle ABC with given side lengths and angles using a ruler and pair of compass, follow these steps.

Step-by-step explanation:

To construct triangle ABC with AB=10cm, ∠ABC=60°, and ∠BAC=30°, we can use a ruler and pair of compass.

Here are the steps to construct the triangle:

1. Draw a line segment AB of length 10cm using a ruler.
2. Using the compass, place the sharp end at point A and draw an arc with a radius of 10cm.
3. Keeping the compass at the same width, place the sharp end at point B and draw another arc that intersects the first arc.
4. Label the point of intersection as C to complete triangle ABC.