Math  /  Geometry

QuestionModules Assignments Syllabus |Quizzes
4. ABCXYZ\triangle \mathrm{ABC} \sim \triangle \mathrm{XYZ} X=y=\begin{array}{l} \mathrm{X}= \\ \mathrm{y}= \end{array}

Studdy Solution
Solve for yy using the proportion 14.412=y5\frac{14.4}{12} = \frac{y}{5}:
14.412=y5\frac{14.4}{12} = \frac{y}{5}
Cross-multiply to solve for yy:
14.45=12y14.4 \cdot 5 = 12 \cdot y
72=12y72 = 12y
Divide both sides by 12:
y=7212y = \frac{72}{12}
y=6y = 6
The values for xx and yy are:
\[ x = 15.6 $ \[ y = 6 $

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