Question

Construct a ΔPQR, right-angled at R, hypotenuse is 5 cm and one of its adjacent sides is 4cm.

Answer 1

∠R=90D,QR=4cm,PQ=5cm.

Step -1: 

Draw a rough sketch of the right angled triangle and label it with the given measurements. 

Step -2: 

Draw a line segment QR of length 4cm. 

Step -3: 

Draw a ray \(\overrightarrow {RY}\) perpendicular to QR at R. 

Step -4: 

Draw an arc from Q with radius 5 cm to intersect \(\overrightarrow {RY}\)at P. 

Step -5: 

Join P, Q to get the required ΔPQR.