Question

(a) Construct a right-angled triangle with hypotenuse 7.6 cm and one of the sides 5.2 cm.

(b) Construct ΔABC, where AB = 6 cm, BC = 7 cm and CA = 9 cm. Is it a right angled triangle? [4 MARKS]

Answer 1

Each part: 2 Marks

(a) Steps of construction:

Step 1: Assume base of the triangle AB = 5.2 cm.

Step 2: Draw a perpendicular on AB at point A, Extend the ray AP.

Step 3: From point B, take an arc of radius 7.6 cm, taking B as a center.

Step 4: The point where the arc and ray intersect is point C.

(b) Steps of construction:

Step 1: Draw line segment BC = 7 cm.

Step 2: Draw an arc with B as the centre and the radius equal to 6 cm.

Step 3: Draw an arc with C as the centre and the radius equal to 9 cm.

Step 4: Name the point of intersection of these two arcs as A.

Step 5: Join points A and B, and points A and C.

Triangle ABC is the required triangle.



The triangle is not a right-angled triangle. It can be checked by a protractor and also by using Pythagoras Theorem. The sides do not satisfy the theorem.