Question

Math of class nine cbse 11.2 guestion no 5

Answer 1

Question : Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.

Solution :

See the construction in the diagram.

Steps of construction :

Step 1 : Draw a line BC = 12 cm.

Step 2 : With B as a centre, draw ∠BAX = 90°

Step 3 : With B as a centre and radius = 18 cm, draw an arc on BX at D.

Step 4 : Join C to D.

Step 5 : Draw a perpendicular bisected of CD, which intersect BD at A.

Step 6 : join A to C.

Therefore, ΔABC is the required triangle.