 Hello and welcome to the session. In this session we will discuss the following question and the question says, Constructor Triangle ABC, right-angled at A, where AB is equal to 4.5 cm and BC is equal to 7.5 cm. So we have to construct a triangle ABC in which angle A is equal to 90 degrees. We are also given the lengths of the sides AB and BC, where BC is the hypotenuse of the right-angled triangle ABC. Let's start the solution now. We are given that triangle ABC is a right-angled triangle and angle A is equal to 90 degrees also we are given that AB is equal to 4.5 cm. So we will first construct a line segment AB of length 4.5 cm. Let's write down the steps of construction now. Step one of construction is draw a line segment AB which is equal to 4.5 cm. So this is the line segment AB that we have constructed and it is equal to 4.5 cm since we know that angle A is equal to 90 degrees. So we will now construct an angle of 90 degrees at A. Step two is at A construct angle PAB which is equal to 90 degrees. So we have to construct an angle of 90 degrees at A. For this we first draw an arc with centre at A and any radius. Then we bisect this arc. Since this angle is 180 degrees hence the angle formed by bisecting this arc is equal to 90 degrees. So angle PAB is equal to 90 degrees. Now we are given the length of the hypotenuse that is BC is equal to 7.5 cm. So in step three we shall construct BC. Step three is with B as centre and radius equal to 7.5 cm draw an arc to cut PA at C. So with B as centre and radius equal to 7.5 cm we will draw an arc and this point where this arc cuts PA is the point C. Now step four is join BC. So we shall join the points B and C now. Thus we have constructed the triangle ABC in which AB is equal to 4.5 cm, angle A is equal to 90 degrees and BC is equal to 7.5 cm. Therefore triangle ABC is the required triangle. With this we end our session. Hope you enjoyed the session.