Question

mel lin uses a ruler and compass to construct a triangle with side lengths 3 cm,5 cm,and 7 cm. mei lin constructs the triangle, how can she tell if the triangle will be a right triangle?explain.

Answer 1

Answer:

1. Draw base BC of length 6.5 cm. Make an angle of 60∘ from B.

2. Mark an arc of radius 5 cm from B on the 60∘ angle created and name it as A. Join A−C. △ABC is the required triangle.

3. Draw a circle with centre as A and radius 3.5 cm. This is the locus of the points equidistant from A at a distance of 3.5 cm.

4. Draw the angle bisector of ∠ACB which will be the locus of points equidistant from AC and BC,

5. Measure the length of XY which comes out to be 5 cm.