a bicycle ramp forms a right triangle one leg is 3 meter longer than the other leg if a bicycle has to cover 12 meters before it lifts how long is the ramp?
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Question :- A bicycle ramp forms a right triangle. one leg is 3 meter longer than the other leg . if a bicycle has to cover 12 meters before it lifts how long is the ramp ?
Solution :-
As , after covering 12 m , the bicycle is left . we can conclude that, 12m is one the longer side of the right Triangle .
Than, as one lef is 3 m longer than the other leg.
So,
→ Length of other side = 12 - 3 = 9m.
Now, using Pythagoras Theorem in Right angle Triangle we get,
→ (Hypotenuse)² = (Perpendicular)² + (Base)²
Putting values Now, we get,
→ (Ramp)² = (9)² + (12)²
→ (Ramp)² = 81 + 144
→ (Ramp)² = 225
→ (Ramp)² = 15 * 15
→ (Ramp)² = (15)²
Square - root both sides now,
→ Ramp = 15m. (Ans.)
Hence, Length of Ramp is 15m.
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