The course of a race is along the sides of a right triangle in three parts. The legs of the triangle consist of a distance of 140 m of walking and 171 m of running. The hypotenuse of the triangle is the cycling part of the event. What distance is covered by the participants on bicycles?
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Answer:
221 m
Step-by-step explanation:
right - angled triangle hypotenuse side = AC
140m of walking = AB
171 m of running =BC
hypotenuse is the cycling part of the event
as we know,
Pythagoras theorem formula is
(AC)² = (AB)² + (BC)²
(AC)² = (140)² + (171)²
(AC)² = 19600 + 29241
(AC)² = 48841
AC = √48841
AC = 221 m
Right - Angled Hypotenuse which was for the Cycling part was of 221 m.