Question 38

Ram started from his house and travelled 3 km towards South. Then turned left and travelled 4 km. Then again he turnedright andtravelled 3 km. From there, he turnedleft and travelled 4 km. At what distance is he now from his house ?

Solution

From the figure,

AE = 3 + 3 = 6 km

EF = 4 + 4 = 8 km

In $$\triangle$$ AEF,

$$(AF)^2 = (AE)^2 + (EF)^2$$

$$(AF)^2 = (6)^2 + (8)^2$$

$$(AF)^2 = 36 + 64$$

$$(AF)^2 = 100$$

AF = 10 km

Distance = 10 km


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