Question

Construct triangle BCP where BC= 5cm, BP=4cm ; angle PBC = 45° ; then, complete therectangle ABCD such that:i) P is equidistant from AB and BC,ii) P is equidistant from C and DMeasure and record the length of AB.​

Answer 1

Construction of triangle and with the help of it construction of rectangle .

Step-by-step explanation:

Step 1: Draw a line segment BC of length 5 cm.

Step 2: draw a line perpendicular to BC at point B such that <B =90° . Now bisect <B

Step 3: Cut the Bisector of <B such that BC = 4 cm.

Step 4:From P cut the perpendicular of B at A such that it is equidistant from AB and BC.

Step 5: Draw perpendicular at C and cut this perpendicular from P such that PD = PC.

Step 6: Join AD and you will obtain the desired rectangle ABCD.