In and , and . If , and , find the length of…

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

\triangle XYZ

and

\triangle MNP

\angle X = \angle M = 50^\circ

and

\angle Y = \angle N = 60^\circ

. If

XY = 6\,\text{cm}

MN = 9\,\text{cm}

and

NP = 12\,\text{cm}

, find the length of

YZ

. (a)

12\,\text{cm}

(b)

9\,\text{cm}

(c)

8\,\text{cm}

(d)

18\,\text{cm}