Question

the triangle RST~ triangle XYZ and RS:XY=3/5 then ST:YZ=? ¤5/3 ¤8/3 ¤3/5 ¤2/8
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Answer 1

SOLUTION

GIVEN

Δ RST and Δ XYZ are similar and

$\displaystyle \sf{ \frac{RS}{XY} = \frac{3}{5} }$

TO DETERMINE

$\displaystyle \sf{ \frac{ST}{YZ} }$

EVALUATION

Here it is given that Δ RST and Δ XYZ are similar

So by the property if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

$\displaystyle \sf{ \therefore \: \: \frac{RS}{XY} = \frac{ST}{YZ} }$

$\displaystyle \sf{ \therefore \: \: \frac{ST}{YZ} = \frac{3}{5} }$

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