Question

the straight line distance between a and b​

Answer 1

hi the distance between a and b is 9

Answer 2

The straight line distance between A and B is 6.70 units.

Given,

The measurements of each stair-like side are 2 and 1 units respectively.

Both the sides are at right angle to each other.

To Find,

The distance of the straight line between the points A and B.

Solution,

Let us join the points A and B to a straight line. This joined line will create three triangles that are right-angled triangles.

To find the distance of the straight line, we need to find the third side of each triangle.

From Pythagoras Theorem

$C^{2} = A^{2} + B^{2}$  we can get,

$C= \sqrt{A^{2} + B^{2} }$

Now, distance of each line joined to form the right-angled triangle = $\sqrt{2^{2} + 1^{2} }$ $= \sqrt{5}$

There are three triangles.

Therefore, total straight line distance between A and B

= Sum of three sides of three triangles

$= 3*\sqrt{5}$

$= 6.70$ units

Hence, the straight line distance between A and B is 6.70 units.

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