question_answer 16)

Construct an isosceles right-angled triangle ABC where \[m\angle ACB={{90}^{\text{o}}}\]and \[\text{AC = 6 cm}\].

Answer:

                Steps of Construction 1. Draw AC of length 6 cm.                                          2. At C, draw \[\text{CX}\bot \text{CA}\]                                          3. With C as centre, draw an arc of radius 6 cm to intersect CX at B.    4. Join AB.                                                  \[\Delta \text{ }\!\!\Alpha\!\!\text{  }\!\!\Beta\!\!\text{ C}\] is now obtained.