Triangle 𝑃𝑄𝑅 is right-angled at vertex 𝑅. Calculate the length of 𝑃𝑅, if 𝑃𝑄 = 34 𝑐𝑚 and 𝑄𝑅 = 33.6 𝑐𝑚.
Step: Applying Pythagoras theorem to find length of perpendicular
𝑆𝑖𝑛𝑐𝑒, ∆PQR is right angled at vertex R,
According to Pythagoras theorem,
(Hypotenuse)2 = (Perpendicular)2 + (Base)2
(PQ)2 = (PR)2 + (RQ)2
(34)2 = (PR)2 + (33.6)2
1156 = (PR)2 + 1128.96
(PR)2 = 1156 - 1128.96
(PR)2 = 27.04
PR = √27.04
PR = 5.2 cm
Hence, the length of PR is 5.2 cm.