Question

Triangle 𝑃𝑄𝑅 is right-angled at vertex 𝑅. Calculate the length of 𝑃𝑅, if 𝑃𝑄 = 34 𝑐𝑚 and 𝑄𝑅 = 33.6 𝑐𝑚.

Answer 1

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 = $\sqrt{27.04}$

PR = 5.2 cm

Hence, the length of PR is 5.2 cm.