Q3 of 59 Page 67

Construct a right angle triangle ABC in which ∠B = 90°, BC = 4 cm and AC = 5 cm.

We have been given two sides and one angle of right angled triangle ABC.

Steps of construction for this case would be:


1. Draw a line segment sufficiently long using a ruler.



2. Locate points B and C such that BC = 4 cm, on the previously drawn line segment using a ruler.



3. At B, construct a line segment BX, sufficiently large, such that ∠XBC = 90° using a compass; use protractor to measure the angle 90°.



4. With C as centre and radius 5 cm using a compass, draw an arc cutting the line segment BX at A.



5. Join AC.



Thus, ABC is the required triangle.


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