1. Construct a triangle with dimension 5cm, 6cm and 75 degrees.
2. Construct a triangle with two sides 5cm, 6cm and an included angle of 120 degrees.
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To construct a triangle with the given dimensions and angles, you will need a compass and a ruler. Follow these steps:
1. Start by drawing a base line segment BC with a length of 5cm using a ruler.
2. On point B, draw a ray towards angle A with an angle of 75 degrees using the compass. Place the compass tip on point B, and draw an arc that intersects the base line BC. Label the point of intersection as A.
3. On point C, draw a ray towards angle A' with an angle of 105 degrees (since the sum of the angles in a triangle is always 180 degrees). Place the compass tip on point C, and draw an arc that intersects the base line BC. Label the point of intersection as A'.
4. Draw a line segment AA' to complete the triangle ABC.
To construct a triangle with the given dimensions and angles, follow these steps:
1. Start by drawing a line segment BC with a length of 6cm using a ruler.
2. On point B, draw a ray towards angle A with an angle of 120 degrees using the compass. Place the compass tip on point B, and draw an arc that intersects the line segment BC. Label the point of intersection as A.
3. On point C, draw a ray towards angle A' with an angle of 60 degrees (since the sum of the angles in a triangle is always 180 degrees). Place the compass tip on point C, and draw an arc from point B to intersect the previous arc. Label the point of intersection as A'.
4. Draw a line segment AA' to complete the triangle ABC.