Question

The distance between cities B and C is 300 km.The distance between cities C and H is 500 km. Determine the shortest distance between H and B​

Answer 1

Answer:

The shortest distance between the cities H and B is 400 km.

Step-by-step explanation:

GIVEN:

•Distance between cities H and C (Hypotenuse) = 500 km

•Distance between cities B and C (Base) = 300 km

TO FIND:

•Distance between cities H and B (Perpendicular) = ?

SOLUTION:

As we know that the shortest distance between two points is the perpendicular.

Applying Pythagoras theorem:

(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2

(500)^2 = (300)^2 + (Perpendicular)^2

250,000 = 90,000 + (Perpendicular)^2

250,000 - 90,000 = (Perpendicular)^2

160,000 = (Perpendicular)^2

Taking square root on both sides:

160,000^1/2 = (Perpendicular)^2×1/2

(400)^2×1/2 = Perpendicular

400 = Perpendicular

or

Perpendicular = 400

Answer 2

Answer:
400 km is the shortest distance between H and B.

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