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What is the value of x to the nearest tenth? The figure is not drawn to scale

What is the value of x to the nearest tenth? The figure is not drawn to scale-example-1
User Ngong
by
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1 Answer

23 votes
23 votes

Answer:

(b) x = 10.5

Explanation:

The angle bisector divides the triangle line segments proportionally.

Proportion

The proportion between corresponding line segments can be written several ways. One of them is ...

long side/long side = short side/short side

x/19.3 = 3.9/7.2

Multiplying by 19.3, we get ...

x = 19.3×3.9/7.2 ≈ 10.5 . . . units

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Additional comment

You can eliminate the incorrect answer choices simply by looking at the possible side lengths of x.

19.3 -(3.9+7.2) < x < 19.3 +(3.9+7.2) . . . . . from triangle inequality

8.2 < x < 30.4 . . . . . . . simplify

There is only one answer choice in this range: the correct one.

User Yimin Rong
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3.0k points