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Studentka2010 [4]

2 years ago

15

Ashley and Christopher want to camp on the other side of a lake at point B. They are both going to kayak to the campsite from th

eir homes. Ashley lives at point A and is kayaking from point A to point B. Christopher lives at point C and is kayaking from point C to point B. Based on the picture below, Ashley will kayak ___ miles more than Christopher. 0.5 mi, 1.5 mi, 2.5 mi, 3.0 mi. Please help!

1 answer:

e-lub [12.9K]2 years ago

8 0

Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi

<em><u>Recall:</u></em>

The midsegment of a triangle joins two sides of a triangle at their midpoint.

The third side is the base of the triangle.

Triangles have three midsegments.

Based on the midsegment theorem, the length of the midsegment = ½(third side).

The picture given shows a triangle with two midsegments: AB and BC

AB = the distance Ashley will kayak.

BC = the distance Christopher will kayak.

XY = 5 mi (base)

XZ = 6 mi (base)

Applying the midsegment theorem, find AB and BC.

AB = ½(XZ)

Substitute

AB = ½(6)

AB = 3 mi

BC = ½(XY)

Substitute

BC = ½(5)

BC = 2.5 mi

Thus, the distance Ashley will kayak more than Christopher = AB - BC

= 3 mi - 2.5 = 0.5 mi.

Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi

Learn more about the midsegment theorem on:

brainly.com/question/12234706

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