Mathematics · Geometry

In a triangle, LM and NK are lines intersecting a line MN such that ∠M = ∠N = 46°. If a line segment of length x is parallel to both sides, express x in terms of a, b, and c, where a, b, and c are the lengths of LM, MN, and NK respectively.

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1a × cb + c✓
2a × bb + c
3a × cb + a
4a × ca + c

Correct answer

a × cb + c

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In a triangle, LM and NK are lines intersecting a line MN such that ∠M = ∠N = 46°. If a line segment of length x is parallel to both sides, express x in terms of a, b, and c, where a, b, and c are the lengths of LM, MN, and NK respectively.

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In a triangle, LM and NK are lines intersecting a line MN such that ∠M = ∠N = 46°. If a line segment of length x is parallel to both sides, express x in terms of a, b, and c, where a, b, and c are the lengths of LM, MN, and NK respectively.

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