In the sides are

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

\Delta GHI

the sides are

GH = 3y - 2\,\text{cm}

HI = 4y + 1\,\text{cm}

and

IG = 5y - 3\,\text{cm}

. In another triangle

\Delta XYZ

the sides are

XY = 6y - 4\,\text{cm}

YZ = 8y + 2\,\text{cm}

and

ZX = 10y - 6\,\text{cm}

. (i) Show that the corresponding sides of the two triangles are in a constant ratio. (ii) If the perimeter of

\Delta XYZ

64\,\text{cm}

, find the value of

y

and hence the numerical lengths of all six sides. (iii) Find the ratio of the areas of the two triangles.