use a ruler and a pair of compass construct a triangle 6cm 5cm 7cm and the degree 45
it's easy to construct a 45° angle -- construct a 90° angle and bisect it.
For the 5-6-7 triangle, draw the side of 7, and then a circle at each end, of radius 5 and 6. Where the circles intersect is the third vertex of the triangle.
To construct a triangle with sides measuring 6cm, 5cm, and 7cm with an angle of 45 degrees, you will need a ruler, a pair of compasses, and a protractor.
Here's how you can construct it step by step:
Step 1: Draw a base line segment of length 6 cm using a ruler. Label the endpoints as A and B.
Step 2: Place the compass on point A and open it to a distance of 5 cm. Draw an arc that intersects the base line segment. Label the point of intersection as C.
Step 3: With the compass' center on point B, draw an arc with a radius of 7 cm. This arc should intersect the base line segment extended beyond point B. Label the point of intersection as D.
Step 4: Connect point C and D with a straight line segment. This will form the third side of the triangle.
Step 5: Now, place the protractor on the base line segment AB, aligning it with point A. Locate the 45-degree mark on the protractor and draw a line that passes through point C, intersecting line segment CD.
Step 6: You have now constructed a triangle with sides measuring 6cm, 5cm, and 7cm, and an angle of 45 degrees.
Make sure to double-check your measurements and constructions to ensure accuracy.