A person pedals from his house to his office at a speed of [tex] {y_1} [tex] He covers half the distance at 30 km/he and the rest at 70 km/hr. What is the total distance of the journey?
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Let ABC be a triangle,
We can extend BA past A into a straight line,
Then there is a point D such that DA=CA
Therefore, from Isosceles triangle has two equal angles,
∠ADC=∠ACD
Thus, in △DCB,
∠BCD>∠BDC (Side opposite greater angle is larger)
Thus, BD>CD
BA+AD>CD (Since, AC=AD)
BA+AC>CD
The sum of any two sides of the triangle is greater than the third side.
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