*If triangle RST ~ triangle XYZ and RS:XY =3/5 then ST:YZ=?*
1️⃣ 5/3
2️⃣ 8/3
3️⃣ 3/5
4️⃣ 2/8
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Given : ΔRST ≈ Δ XYZ
RS : XY = 3/5
To Find : ST : YZ
1️⃣ 5/3
2️⃣ 8/3
3️⃣ 3/5
4️⃣ 2/8
Solution:
ΔRST ≈ Δ XYZ
Triangles are similar
Similar Triangles: corresponding angles are congruent and the corresponding sides are proportional
=> RS/XY = ST/YZ = RT/XZ
RS/XY = 3/5
ST/YZ = RT/XZ = 3/5
=> ST/YZ = 3/5
=> ST : YZ = 3/5
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